The required measure of the m∠rst and m∠vst is 46 and 134 respectively. Option A is correct.
∠rst and ∠vst are a linear pair, m∠rst = 3x + 7, and m∠vst = 9x + 17. measures of m∠rst and m∠vst to be determined.
What is the angle?
The angle can be defined as the one line inclined over another line.
Since, angles are linear pairs,
The sum of angles = 180
m∠rst + m∠vst = 180
3x + 7 +9x + 17 = 180
12x + 24 = 180
12x = 180 -24
12x = 156
x = 156/12
x = 13
Now, angles m∠rst and m∠vst,
m∠rst = 3x +7 = 3*13+7
m∠rst = 46
m∠vst = 9x +17 = 9*13 + 17
m∠vst = 134
Thus, the required measure of the m∠rst and m∠vst is 46 and 134 respectively. Option A is correct.
Learn more about Angles here:
https://brainly.com/question/13954458
#SPJ6
