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 relationship

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

Step2: Solve for the unknown angle

We can rearrange the equation \( \angle A+\angle B = 90^{\circ}\) to solve for \( \angle B \), so \( \angle B=90^{\circ}-\angle A \). Substitute \( \angle A = 38^{\circ}\) into the equation, we get \( \angle B = 90^{\circ}- 38^{\circ}\).

Step3: Calculate the result

\( 90^{\circ}-38^{\circ}=52^{\circ}\)

Answer:

\( 52^{\circ} \)