Question

if ∠rst and ∠xyz are supplementary, and m∠rst is equal to 110°, then what is m∠xyz? m∠xyz = ?°

Explanation:

Step1: Recall supplementary - angle definition

Supplementary angles add up to $180^{\circ}$. So, $m\angle{RST}+m\angle{XYZ} = 180^{\circ}$.

Step2: Substitute the given angle value

We know $m\angle{RST}=110^{\circ}$. Substituting into the equation: $110^{\circ}+m\angle{XYZ}=180^{\circ}$.

Step3: Solve for $m\angle{XYZ}$

$m\angle{XYZ}=180^{\circ}- 110^{\circ}=70^{\circ}$.

Answer:

$70$