Question

1. complete the sentences to find the value of x.

the measure of the angle of the triangle equals the sum of the measures of its two angles.
so the angle equals the sum of the angle and the x° angle.
so, the x° angle is the of the 117° angle and the 29° angle.
therefore, x = .

Explanation:

Step1: Recall exterior - angle property

The measure of the exterior angle of the triangle equals the sum of the measures of its two non - adjacent interior angles.

Step2: Identify angles

So the 117° exterior angle equals the sum of the 29° angle and the x° angle.

Step3: Solve for x

So, the x° angle is the difference of the 117° angle and the 29° angle. Mathematically, \(x = 117 - 29\).

Answer:

88