Question

the measures of two interior angles of a triangle are 64° and 86°. find the measure of the unknown interior angle. write your answer in the box.

Explanation:

Step1: Recall triangle angle sum

The sum of interior angles of a triangle is \(180^\circ\).

Step2: Calculate the unknown angle

Let the unknown angle be \(x\). Then \(64^\circ + 86^\circ + x = 180^\circ\). First, add \(64^\circ\) and \(86^\circ\): \(64 + 86 = 150\). So, \(150^\circ + x = 180^\circ\). Subtract \(150^\circ\) from both sides: \(x = 180^\circ - 150^\circ = 30^\circ\).

Answer:

\(30^\circ\)