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 definition

Linear pair angles sum to $180^\circ$. So $m\angle RST + m\angle XYZ = 180^\circ$.

Step2: Substitute known angle

$102^\circ + m\angle XYZ = 180^\circ$. Solve for $m\angle XYZ$: $m\angle XYZ = 180^\circ - 102^\circ$.

Step3: Calculate the result

$180 - 102 = 78$.

Answer:

78