Question

section 5.5 homework
page 2

1. parl is a parallelogram.

y =

1. calculate the measure of each lettered angle.

Explanation:

Step1: Recall parallelogram properties

In a parallelogram, \( \angle P + \angle PAR = 180^\circ \) (consecutive angles are supplementary). First, find \( \angle PAR \).
\( \angle PAR = 180^\circ - 48^\circ = 132^\circ \).

Step2: Calculate \( y \)

We know \( \angle PAR = y + 95^\circ \) (from the diagram, \( \angle PAR \) is split into \( y \) and \( 95^\circ \)). So,
\( y = \angle PAR - 95^\circ = 132^\circ - 95^\circ = 37^\circ \).

Answer:

\( 37^\circ \)