Question

find the measure of the missing angles.
answer attempt 1 out of 2
$x=square^{circ}$ $y=square^{circ}$

Explanation:

Step1: Find \(x\)

Use the property of vertical angles. \(x\) and \(32^{\circ}\) are vertical angles.
Vertical angles are equal. So \(x = 32^{\circ}\)

Step2: Find \(y\)

Use the fact that the sum of angles around a point is \(360^{\circ}\). But we can also use the fact that \(y+90^{\circ}+32^{\circ}=180^{\circ}\) (linear - pair and right - angle relation).

$$y=180^{\circ}-(90^{\circ} + 32^{\circ})$$

$$y=180^{\circ}-122^{\circ}$$

$$y = 58^{\circ}$$

Answer:

\(x = 32^{\circ}\), \(y=58^{\circ}\)