Question

you can use what you learned about exterior angles of triangles to find the value of x. what is the measure of the exterior angle in the figure? x°, 90°, 140°

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 non - adjacent interior angles be \(90^{\circ}\) and \(140^{\circ}- 180^{\circ}\) (the non - exterior part of the angle at the top). First, find the non - exterior part of the angle at the top. The angle at the top is \(140^{\circ}\), and its non - exterior part is \(180 - 140=40^{\circ}\). Then, by the exterior - angle property of a triangle, \(x=90 + 40\).

Step3: Calculate the value of \(x\)

\(x = 130\)

Answer:

\(130\)