Question

a side of the triangle below has been extended to form an exterior angle of 127°. find the value of x.

Explanation:

Step1: Recall exterior - angle property

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

Step2: Set up the equation

Let the right - angle be 90°. We know the exterior angle is 127°. So, 127°=90° + x.

Step3: Solve for x

Subtract 90° from both sides of the equation: x = 127°−90°.
x = 37°

Answer:

37°