Question

1. a parallelogram has one angle that measures 155°. what are the measures of the other angles?

Explanation:

Step1: Recall parallelogram angle property

Consecutive angles are supplementary: $\angle 1 + \angle 2 = 180^\circ$

Step2: Calculate adjacent angle

Let the given angle be $\angle 1 = 155^\circ$. Solve for $\angle 2$:
$\angle 2 = 180^\circ - 155^\circ = 25^\circ$

Step3: Recall opposite angles property

Opposite angles in a parallelogram are equal.

Answer:

The other angles are $25^\circ$, $155^\circ$, and $25^\circ$.