Respuesta :

Consecutive interior theorem

X+96+96+x= 180
2x+192=180
2x= -12
X=-6

Two angles that are indicated in bold in the given figure are 90° and 90° respectively.

What is an angle?

"In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. "

Given, two angles are measured as (x + 96°) and (96° + x) respectively.

Here, two lines are parallel and another line intersects these two lines.

Therefore, sum of the two angles given is equal to 180°.

Therefore, (x + 96°) + (96° + x) = 180°

⇒ 2x + 192° = 180°

⇒ 2x = -12°

⇒ x = -6°

Now, (x + 96°) = (-6° + 96°) = 90° and (96° + x) = (96° - 6°) = 90°

Learn more about an angle here: https://brainly.com/question/8691602

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