Question

find the measure of ∠x. m∠x =

Explanation:

Step1: Use exterior - angle property

The exterior - angle of a triangle is equal to the sum of the two non - adjacent interior angles. Let's assume the triangle formed by the angles. The exterior angle related to the angles \(138^{\circ}\) and \(37^{\circ}\) and \(x\) has the following relationship. First, find the non - exterior part of the \(138^{\circ}\) angle. The non - exterior part of the \(138^{\circ}\) angle is \(180 - 138=42^{\circ}\).

Step2: Calculate \(x\)

By the exterior - angle property of a triangle, \(x=42 + 37\). So \(x = 79^{\circ}\).

Step3: Calculate \(4x\)

Multiply \(x\) by 4. \(4x=4\times79\).
\(4x = 316^{\circ}\)

Answer:

\(316\)