Question

finding angle measures find the measure of the numbered angles. 32.

Explanation:

Step1: Find the measure of ∠2

Vertical angles are equal.
$$\angle2 = 40^{\circ}$$

Step2: Find the measure of ∠3

Sum of angles in a triangle is \(180^{\circ}\).
$$\angle3=180^{\circ}-95^{\circ}-40^{\circ}=45^{\circ}$$

Step3: Find the measure of ∠1

Sum of angles in a triangle is \(180^{\circ}\).
$$\angle1 = 180^{\circ}-90^{\circ}-45^{\circ}=45^{\circ}$$

Answer:

\(\angle1 = 45^{\circ}\), \(\angle2 = 40^{\circ}\), \(\angle3 = 45^{\circ}\)