Question

1. two adjacent angles add up to 180°. one angle measures 101°. find the other angle.

Explanation:

Step1: Define the relationship

Let the two adjacent angles be \( \angle A \) and \( \angle B \), where \( \angle A + \angle B = 180^\circ \) and \( \angle A = 101^\circ \). We need to find \( \angle B \).

Step2: Solve for the unknown angle

Using the equation \( \angle B = 180^\circ - \angle A \), substitute \( \angle A = 101^\circ \) into it. So \( \angle B = 180^\circ - 101^\circ \).

Step3: Calculate the result

\( 180 - 101 = 79 \), so \( \angle B = 79^\circ \).

Answer:

The measure of the other angle is \( 79^\circ \).