Question

find the measure of the numbered angle
36
m∠8 = □°

Explanation:

Step1: Find the measure of angle 1

In a right - angled triangle, the sum of angles is \(180^{\circ}\). So, \(\angle1=180^{\circ}-90^{\circ}-40^{\circ}\)

$$
LATEXBLOCK0
$$

Step2: Use vertical - angle property

Since \(\angle8\) and \(\angle1\) are vertical angles, \(m\angle8 = m\angle1\)

Answer:

\(50\)