Question

if ∠rst and ∠xyz are a linear pair, and m∠rst is equal to 102°, then what is m∠xyz? m∠xyz = ?°

Explanation:

Step1: Recall linear - pair property

Linear - pair angles are supplementary, i.e., their sum is $180^{\circ}$. So, $m\angle RST + m\angle XYZ=180^{\circ}$.

Step2: Substitute the given value

Given $m\angle RST = 102^{\circ}$, we substitute it into the equation: $102^{\circ}+m\angle XYZ = 180^{\circ}$.

Step3: Solve for $m\angle XYZ$

$m\angle XYZ=180^{\circ}- 102^{\circ}=78^{\circ}$.

Answer:

$78$