Question

question 15 (5 points)
listen
find ( m angle x y z ) in the figure if ( angle x y z ) and ( angle p q r ) are supplementary angles.
a) ( 97^{circ} )
b) ( 7^{circ} )
c) ( 173^{circ} )
d) ( 83^{circ} )

Explanation:

Step1: Recall supplementary angles definition

Supplementary angles sum to \( 180^\circ \). Let \( m\angle PQR = 83^\circ \) and \( m\angle XYZ = x \). Then \( x + 83^\circ = 180^\circ \).

Step2: Solve for \( x \)

Subtract \( 83^\circ \) from both sides: \( x = 180^\circ - 83^\circ = 97^\circ \).

Answer:

A) \( 97^\circ \)