Question

2.) find the measure of exterior angle x:
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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 \(\triangle ABC\), the exterior angle \(x\) is non - adjacent to the interior angles \(\angle A = 40^{\circ}\) and \(\angle B=60^{\circ}\).

Step2: Calculate the value of \(x\)

By the exterior angle theorem, \(x=\angle A+\angle B\).
Substitute \(\angle A = 40^{\circ}\) and \(\angle B = 60^{\circ}\) into the formula: \(x=40^{\circ}+60^{\circ}\).
\(x = 100^{\circ}\)

Answer:

\(100^{\circ}\)