Question

what is m∠1? m∠1=□°

Explanation:

Step1: Find the third angle of the triangle

The sum of angles in a triangle is \(180^\circ\). So the third angle (let's call it \(x\)) inside the triangle is \(180^\circ - 35^\circ - 52^\circ\).

$$180 - 35 - 52 = 93^\circ$$

Step2: Find \(m\angle1\)

\(\angle1\) and the angle \(x\) (which is \(93^\circ\)) are supplementary angles (they form a linear pair), so their sum is \(180^\circ\). Thus, \(m\angle1 = 180^\circ - 93^\circ\).

$$180 - 93 = 87^\circ$$

Answer:

\(87\)