SAT : asked on anamatiascamaja
 31.05.2021

In the diagram shown at left, three lines intersect to form a triangle. What is the value of
x
xx ?

. 312

Step-by-step answer

17.02.2022, solved by verified expert
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4 students found this answer . helpful

39°

Step-by-step explanation:

For a straight line, the sum of angle is 180°

At the point where we have the 107°, the inner angle in the triangle will be 180-107=73°

68° is alternate angle to the inner angle in the triangle

Since the sum of angles in a triangle are 180°, then angle x will be

X=180-73-68=39°

Therefore, missing angle is 39°

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Faq

Mathematics
Step-by-step answer
P Answered by PhD

The value of x is 39°

Step-by-step explanation:

To obtain the value of x°, we need to determine the sizes of the remaining angles in the triangle.

In the attached photo,

Angle y = 68° (opposite angles are equal)

z° + 107° = 180° (sum of angles on a straight line)

Collect like terms

z° = 180° – 107°

z° = 73°

Now, we can obtain the value value of x as follow:

x° + y° + z° = 180° (sum of angles in a triangle)

x° =?

y° = 68°

z° = 73°

x° + 68° + 73° = 180°

Collect like terms

x° = 180° – 68° – 73°

x° = 39°

Therefore, the value of x is 39°.


In the diagram shown at left, three lines intersect to form a triangle. What is the value of x ?
Mathematics
Step-by-step answer
P Answered by PhD

39°

Step-by-step explanation:

For a straight line, the sum of angle is 180°

At the point where we have the 107°, the inner angle in the triangle will be 180-107=73°

68° is alternate angle to the inner angle in the triangle

Since the sum of angles in a triangle are 180°, then angle x will be

X=180-73-68=39°

Therefore, missing angle is 39°

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