Question

Given the figure below and that segment VW is the midsegment ΔRST, what is m∠WVR?

Answer 1

Answer: 156

Explanation:

Angle RTS and VWS are corressponding so the angle measures are equal so VWS equals 47degrees. the angle measures of a triangle always sums to 180 so the measure of angle S plus the measure of angle W sums to 156 and to find out the answer to angle V you subtract 156 from 180 so 180-156 equals 24. Now that you know the measure of agle SVW you can find out angle WVR. Angled on the same line are supplementary and they sum to 180 so to find the measure of angle WVR you do 180-24 which equals 156.

Answer 2

∠WVR = 156

Explanation:

Angles in triangle add up to 180 - SEE ATTACHMENT - LEFT TRIANGLE

∴ ∠SRT + RST + RTS = 180

∴ ∠SRT + 109 + 47 = 180

∠SRT = 24

Alternate Angle Theorem - SEE ATTACHMENT - RIGHT TRIANGLE

∠SRT = 180 - ∠WVR

24 = 180 - ∠WVR

24 - 180 = - ∠WVR

-156 = - ∠WVR

∠WVR = 156