Question

vertical/adjacent/complementary angles l2
question
find the measure of the missing angles.
answer
attempt 1 out of 3
$x=square^{circ}$ $y=square^{circ}$

Explanation:

Step1: Find the value of \( x \)

Complementary angles sum to \( 90^{\circ} \).
\( x+49^{\circ}=90^{\circ} \)
\( x = 90^{\circ}-49^{\circ} \)
\( x = 41^{\circ} \)

Step2: Find the value of \( y \)

Adjacent angles on a straight - line sum to \( 180^{\circ} \). Also, one of the angles is a right - angle (\( 90^{\circ} \)) and \( x = 41^{\circ} \).
\( y+90^{\circ}+49^{\circ}=180^{\circ} \)
\( y=180^{\circ}-(90^{\circ} + 49^{\circ}) \)
\( y = 41^{\circ} \)

Answer:

\( x = 41\), \( y = 41 \)