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, $b - 160=142$. Solving for $b$: $b=142 + 160=302$.

Step2: Calculate $m\angle PYF$

$\angle PYF$ and the $142^{\circ}$ angle are supplementary (they form a linear - pair). Let $m\angle PYF=x$. Then $x + 142^{\circ}=180^{\circ}$. So, $x=180^{\circ}-142^{\circ}=38^{\circ}$.

Answer:

$38^{\circ}$