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9. find m∠rsw if m∠rst = 150° and m∠wst = 98°. ∠rsw = ______

Question

  1. find m∠rsw if m∠rst = 150° and m∠wst = 98°. ∠rsw = ______

Explanation:

Step1: Identify angle - relationship

We know that $\angle RST=\angle RSW+\angle WST$.

Step2: Solve for $\angle RSW$

$\angle RSW=\angle RST - \angle WST$.
Substitute $\angle RST = 150^{\circ}$ and $\angle WST=98^{\circ}$ into the formula: $\angle RSW=150^{\circ}-98^{\circ}$.
$\angle RSW = 52^{\circ}$

Answer:

$52^{\circ}$