Three lines intersect at point , as shown in the diagram below. Find the measure of ∠VPQ. SHOW ALL WORK.
![Three lines intersect at point as shown in the diagram below Find the measure of VPQ SHOW ALL WORK class=](https://us-static.z-dn.net/files/d9c/4b19d87b134d2c76726ca4f79e5fc0ff.png)
Answer:
83
Step-by-step explanation:
First of all, notice that VPS is a straight line meaning angles that lie on it will have a sum of 180. We know length of SPR=35, RPQ=62 (vert.opps.<s) as it lies vertically opposite to TPU. So now we know 2 angles, we can easily find out 3rd angle. But first we have to assume it as x. We make an equation= 62+35+x=180, 97+x=180,x=180-97, x=83, so angle VPQ equals 83.