11.06.2021

Lines r and s are crossed by lines t and u to form 16 angles. Clockwise from top left, at the intersection of r and t, the angles are 1, 2, 3, 4; at the intersection of s and t, 5, 6, 7, 8; at the intersection of u and s, 9, 10, 11, 12; at the intersection of u and r, 13, 14, 15, 16.
Which angles are alternate interior angles with angle 3?
Angle5 and Angle13
Angle7 and Angle15
Angle6 and Angle16
Angle8 and Angle14

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Mathematics

If Angle 8 is congruent to angle 10 and Angle 1 is congruent to angle 7, which describes all the lines that must be parallel? Lines r and s are crossed by lines t and u to form 16 angles. Clockwise from top left, at the intersection of r and t, the angles are 1, 2, 3, 4; at the intersection of s and t, 5, 6, 7, 8; at the intersection of u and s, 9, 10, 11, 12; at the intersection of u and r, 13, 14, 15, 16. Only lines r and s must be parallel. Only lines t and u must be parallel. Lines r and s and lines t and u must be parallel. Neither lines r

Step-by-step answer

P Answered by PhD

The correct option is C

C) Lines r and s and lines t and u must be parallel

Step-by-step explanation:

I've attached the figure for this questions below. Consult it for better understanding of the solution.

We have been given 2 conditions that:

Angle 8 is congruent to angle 10Angle 1 is congruent to angle 7

When both the pair of lines that are r,s and t,u are parallel, then the angles <8 and <10 as well as <1 and <7 become opposite angle, which are always equal. Even if one pair of lines is not parallel, these conditions won;t hold true.

If Angle 8 is congruent to angle 10 and Angle 1 is congruent to angle 7, which describes all the lin

Mathematics

Step-by-step answer

P Answered by PhD

The correct option is C

C) Lines r and s and lines t and u must be parallel

Step-by-step explanation:

I've attached the figure for this questions below. Consult it for better understanding of the solution.

We have been given 2 conditions that:

Angle 8 is congruent to angle 10Angle 1 is congruent to angle 7

Mathematics

If Angle 2 is congruent to angle 4 and Angle 5 is congruent to angle 7, which describes all the lines that must be parallel? Lines r and s are crossed by lines t and u to form 16 angles. Clockwise from top left, at the intersection of r and t, the angles are 1, 2, 3, 4; at the intersection of s and t, 5, 6, 7, 8; at the intersection of u and s, 9, 10, 11, 12; at the intersection of u and r, 13, 14, 15, 16. Only lines r and s must be parallel. Only lines t and u must be parallel. Lines r and s and lines t and u must be parallel. Neither lines r

Step-by-step answer

P Answered by Specialist

C.Lines r and s and lines t and u must be parallel.

Step-by-step explanation:

Line r s and t must be parallel and c is closest to that lol

Mathematics

If Angle 6 is congruent to angle 10 and Angle 5 is congruent to angle 7, which describes all the lines that must be parallel? Lines r and s are crossed by lines t and u to form 16 angles. Clockwise from top left, at the intersection of r and t, the angles are 1, 2, 3, 4; at the intersection of s and t, 5, 6, 7, 8; at the intersection of u and s, 9, 10, 11, 12; at the intersection of u and r, 13, 14, 15, 16. Only lines r and s must be parallel. Only lines t and u must be parallel. Lines r and s and lines t and u must be parallel. Neither lines r

Step-by-step answer

P Answered by PhD

Third option: Lines "r" and "s" and lines "t" and "u" must be parallel.

Step-by-step explanation:

The missing figure is attached.

You need to remember that:

1- A Transversal is defined as a line that intersects two or more lines.

2- When a transversal cut two parallel lines, several angles are formed, which are grouped in pairs. Some of them are:

a. Vertical angles: are those pairs of angles that share the same vertex and are opposite to each other. These angles are congruent.

b. Corresponding angles: are those pairs of non-adjacent angles located on the same side of the transversal and outside the parallel lines. They are congruent.

In this case, you can identify in the figure that:

$\angle 6$ and $\angle 10$ are Corresponding angles.