Question

use the diagram below to answer the questions.
find ( mangle p y f )

Explanation:

Step1: Find the value of \( b \)

Vertical angles are equal. So \( b - 160=142 \)
\( b=142 + 160=302 \)

Step2: Find \( m\angle PYF \)

\( \angle PYF \) and \( 142^{\circ} \) are supplementary angles (they form a linear pair). So \( m\angle PYF=180 - 142 \)
\( m\angle PYF = 38^{\circ} \)

Answer:

\( 38^{\circ} \)