Question

1. what is the measure of angle x? 56° 62° 31° 59°

Explanation:

Step1: Recall the triangle angle - sum property

The sum of the interior angles of a triangle is \(180^{\circ}\). So, if the angles of the triangle are \(87^{\circ}\), \(31^{\circ}\), and \(x^{\circ}\), then \(87 + 31+x=180\).

Step2: Simplify the left - hand side of the equation

First, add \(87\) and \(31\): \(87 + 31=118\). The equation becomes \(118+x = 180\).

Step3: Solve for \(x\)

Subtract \(118\) from both sides of the equation: \(x=180 - 118\).

$$x = 62$$

Answer:

\(62^{\circ}\)