Question

in the above figure what is x in terms of y and z?
choose the option that best answers the question.
○ y + z
○ 180 - y + z
○ 90 - y - z
○ 90 - y + z

Explanation:

Step1: Use the exterior - angle theorem

The exterior - angle theorem states that an exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles.

In triangle \(ABC\), \(x\) is an exterior angle. The two non - adjacent interior angles are \(y\) and \(z\).

So, \(x=y + z\)

Answer:

A. \(y + z\)