A) mPQ = 71Âș
B) mSR = 161Âș
C) mQRT = 199ÂȘ
D) mPSR = 270Âș
E) mPS = 109Âș
Step-by-step explanation:
We know that mST is 19Âș and QR is also 19Âș because they're opposite angles. We also know that angle PUR is 90Âș.
If we subtract 19Âș from 90Âș we get 71Âș for mPQ.
We also know that TR is a 180Âș angle. Using this if we take 19Âș from 180Âș we're left with 161Âș for mSR.
Using the 180Âș from angle TR, as well as the 19Âș from mQR we know that mQRT has to be 199Âș.
A circle is 360Âș and a right angle is 90Âș. That means that mPSR is 270Âș.
Knowing that TR is 180Âș and that PR is 90Âș, PTÂș must be supplementary making it also 90Âș. Adding the 19Âș from ST to the 90Âș from TP we know that PS is 109Âș