Question

if ∠rst and ∠xyz are complementary, and m∠rst is equal to 45°, then what is m∠xyz? m∠xyz = ?°

Explanation:

Step1: Recall complementary - angle definition

Complementary angles sum to $90^{\circ}$.

Step2: Set up the equation

Let $m\angle XYZ=x$. We know $m\angle RST = 45^{\circ}$ and $m\angle RST+m\angle XYZ = 90^{\circ}$, so $45^{\circ}+x=90^{\circ}$.

Step3: Solve for $x$

$x = 90^{\circ}-45^{\circ}=45^{\circ}$.

Answer:

$45$