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3. in the diagram below, which expression represents x, the degree meas…

Question

  1. in the diagram below, which expression represents x, the degree measure of the exterior angle shown. a. a + b b. a - b c. a + c d. b + c

Explanation:

Step1: Recall 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.

Step2: Identify the non - adjacent interior angles

In the given triangle, the exterior angle \(x\) has non - adjacent interior angles \(a\) and \(b\).

Answer:

A. \(a + b\)