Question

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

Explanation:

Step1: Find the value of \( x \)

Vertical angles are equal. The angle of \( 64^{\circ} \) and \( x \) are vertical angles. So \( x = 64^{\circ} \).

Step2: Find the value of \( y \)

The sum of angles around a point is \( 360^{\circ} \). We know one right - angle (\( 90^{\circ} \)) and an angle of \( 64^{\circ} \). Also, \( x = 64^{\circ} \). Using the formula \( y+90 + 64+x=360 \). Substitute \( x = 64 \) into the equation: \( y+90+64 + 64=360 \). Simplify the left - hand side: \( y+218 = 360 \). Then \( y=360 - 218=142^{\circ} \).

Answer:

\( x = 64^{\circ} \), \( y = 142^{\circ} \)