Question

1. two adjacent angles add up to $90^{circ}$. one angle measures $38^{circ}$. find the other angle. type a response

Explanation:

Step1: Define the problem

Let the two adjacent angles be \( \angle A \) and \( \angle B \), where \( \angle A + \angle B = 90^\circ \) and \( \angle A = 38^\circ \). We need to find \( \angle B \).

Step2: Solve for the unknown angle

Using the equation \( \angle A + \angle B = 90^\circ \), we can rearrange it to solve for \( \angle B \):
\( \angle B = 90^\circ - \angle A \)

Substitute \( \angle A = 38^\circ \) into the equation:
\( \angle B = 90^\circ - 38^\circ \)
\( \angle B = 52^\circ \)

Answer:

The measure of the other angle is \( 52^\circ \).