02.11.2022


Naming angles:
1
2
3

. 1

Step-by-step answer

06.02.2023, solved by verified expert
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Answer:

see below

Step-by-step explanation:

1. Adjacent angles 

∠ABE and ∠ABD

∠EBC and ∠CBD

vertical angles

∠ABE and ∠DBC

∠EBC and ∠ABD

2. Adjacent angles 

∠PQS and ∠SQV

vertical angles

∠PQS and ∠RQT

3. a) ∠1 and ∠4 

Adjacent angles 

b) ∠7 and ∠9

neither

c) ∠5 and ∠6

vertical

d) ∠11 and ∠12

vertical

e) ∠6 and ∠7

adjacent 

f) ∠4 and ∠9

neither

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Faq

StudenGPT
Step-by-step answer
P Answered by Studen AI
To find the value of angle 2 (m2), we can use the fact that the sum of the three angles of a triangle is always 180 degrees.

Given that angle 1 (m1) + angle 3 (m3) equals 150 degrees, we can express this as an equation:
m1 + m3 = 150°

We know that the sum of all three angles in a triangle is 180 degrees:
m1 + m2 + m3 = 180°

Now, we can substitute the value of m1 + m3 (150°) into the second equation:
150° + m2 = 180°

To isolate m2, we can subtract 150° from both sides of the equation:
m2 = 180° - 150°
m2 = 30°

Therefore, the value of m2 (angle 2) is 30 degrees.

The correct answer to the given multiple-choice question is D. 30°.
Mathematics
Step-by-step answer
P Answered by PhD

In the figures attached, the complete question is shown.

What is the difference between a minor arc and a major arc?

the measure of a minor arc is less than 180°

the measure of a major arc is greater than 180°

How many letters do we use to name a MINOR arc? 2

How many letters do we use to name a MAJOR arc? 3

How many degrees are in a semi-circle? 180°

How many letters to name a SEMI CIRCLE? 3

1. Name of arc: AB Type of arc: minor

2. Name of arc: ADB Type of arc: major

3. Name of arc: PSQ  Type of arc: semi-circle

4. AE: minor

5. AEB: semi-circle

6. FDE: semi-circle

7. DFB: major

8. FA: minor

9. BE: minor

10. BDA: semi-circle

11. FBD: major

12. PQ and ST

13. QPT and  PUS

14. PUT and QPU

15. There are 360° degrees in a circle.

16. There are 180° degrees in a semi-circle.

17. The measure of the arc is equal to the measure of the central angle.

18. mPQ: 50°, mPXQ: 310°

19. mPQ: 90° , mPRQ: 270°

20. mPQ: 150° , mPXQ: 210°

21. mQS: 45°, mQRS: 315°

22. mGH: 30°, mGFH: 330°

23. mAB: 75°, mADB: 285°


Geometry worksheet 11.1-11.2 angles and arcs in a circle  what is the difference between a minor arc
Geometry worksheet 11.1-11.2 angles and arcs in a circle  what is the difference between a minor arc
Mathematics
Step-by-step answer
P Answered by PhD

In the figures attached, the complete question is shown.

What is the difference between a minor arc and a major arc?

the measure of a minor arc is less than 180°

the measure of a major arc is greater than 180°

How many letters do we use to name a MINOR arc? 2

How many letters do we use to name a MAJOR arc? 3

How many degrees are in a semi-circle? 180°

How many letters to name a SEMI CIRCLE? 3

1. Name of arc: AB Type of arc: minor

2. Name of arc: ADB Type of arc: major

3. Name of arc: PSQ  Type of arc: semi-circle

4. AE: minor

5. AEB: semi-circle

6. FDE: semi-circle

7. DFB: major

8. FA: minor

9. BE: minor

10. BDA: semi-circle

11. FBD: major

12. PQ and ST

13. QPT and  PUS

14. PUT and QPU

15. There are 360° degrees in a circle.

16. There are 180° degrees in a semi-circle.

17. The measure of the arc is equal to the measure of the central angle.

18. mPQ: 50°, mPXQ: 310°

19. mPQ: 90° , mPRQ: 270°

20. mPQ: 150° , mPXQ: 210°

21. mQS: 45°, mQRS: 315°

22. mGH: 30°, mGFH: 330°

23. mAB: 75°, mADB: 285°


Geometry worksheet 11.1-11.2 angles and arcs in a circle  what is the difference between a minor arc
Geometry worksheet 11.1-11.2 angles and arcs in a circle  what is the difference between a minor arc
Mathematics
Step-by-step answer
P Answered by PhD

  see the attachment

Step-by-step explanation:

1.  Two angles that sum to 90° are complementary, whether they are adjacent or not. Angles LMN and NMP are also adjacent.

2.  Vertical angles created by two distinct lines are never adjacent. The sides of the angles are created by the same lines, and the angles share a vertex, but there is no ray that is a side common to both angles.

3.  Angle GMK is supplementary to angle JMG.

4.  Vertical angles are congruent. See question 2.

5.  See question 1.


Classify each angle pair using all the names that apply using the diagram on the left , answering 1
Mathematics
Step-by-step answer
P Answered by PhD

  see the attachment

Step-by-step explanation:

1.  Two angles that sum to 90° are complementary, whether they are adjacent or not. Angles LMN and NMP are also adjacent.

2.  Vertical angles created by two distinct lines are never adjacent. The sides of the angles are created by the same lines, and the angles share a vertex, but there is no ray that is a side common to both angles.

3.  Angle GMK is supplementary to angle JMG.

4.  Vertical angles are congruent. See question 2.

5.  See question 1.


Classify each angle pair using all the names that apply using the diagram on the left , answering 1
Mathematics
Step-by-step answer
P Answered by PhD

Answers are correct

Step-by-step explanation:

1. The sides of an angle are lines

2. When using three letters to name an angle, the middle letter represents the vertex

3. A protractor is a tool used to measure angles.

4. Angles are measured in units of  degrees .

5. There are three methods for naming angles.

6. A circle measures 360 degrees

7. A(n) acute angle measures less than 90o.

8. A straight angle measures  180 degrees

9. Congruent angles have the same measure.

10. Ruler are used to show that angles have the same measure on a diagram.

11. An angle that measures greater than 90o but less than 180o is called obtuse

12. The common endpoint of two rays that make an angle is called the vertex.

13. If an angle measures 90o, it is called a(n) right angle.

Mathematics
Step-by-step answer
P Answered by PhD

Answers are correct

Step-by-step explanation:

1. The sides of an angle are lines

2. When using three letters to name an angle, the middle letter represents the vertex

3. A protractor is a tool used to measure angles.

4. Angles are measured in units of  degrees .

5. There are three methods for naming angles.

6. A circle measures 360 degrees

7. A(n) acute angle measures less than 90o.

8. A straight angle measures  180 degrees

9. Congruent angles have the same measure.

10. Ruler are used to show that angles have the same measure on a diagram.

11. An angle that measures greater than 90o but less than 180o is called obtuse

12. The common endpoint of two rays that make an angle is called the vertex.

13. If an angle measures 90o, it is called a(n) right angle.

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