Question

if $\angle rst$ and $\angle xyz$ are complementary, and $m\angle rst$ is equal to $45^\circ$, then what is $m\angle xyz$?
$m\angle xyz = ?^\circ$

Explanation:

Step1: Recall complementary angles definition

Complementary angles sum to $90^\circ$. So $m\angle RST + m\angle XYZ = 90^\circ$.

Step2: Substitute known value

$45^\circ + m\angle XYZ = 90^\circ$. Solve for $m\angle XYZ$: $m\angle XYZ = 90^\circ - 45^\circ = 45^\circ$.

Answer:

45