Question

m∠rst = 114°. find m∠rsv.
m∠rsv = □°

Explanation:

Step1: Identify angle - relationship

We know that $\angle RST=\angle RSV + \angle VST$.

Step2: Rearrange the formula to find $\angle RSV$

$m\angle RSV=m\angle RST - m\angle VST$.

Step3: Substitute the given values

Given $m\angle RST = 114^{\circ}$ and $m\angle VST=72^{\circ}$, so $m\angle RSV=114 - 72$.

Step4: Calculate the result

$m\angle RSV = 42^{\circ}$.

Answer:

$42$