Question

1. m∠rst = 114°. find m∠rsv.

Explanation:

Step1: Identify angle relationship

$\angle RST = \angle RSV + \angle VST$

Step2: Rearrange to solve for $\angle RSV$

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

Step3: Substitute given values

$m\angle RSV = 114^\circ - 72^\circ$

Step4: Calculate the difference

$m\angle RSV = 42^\circ$

Answer:

$42^\circ$