Question

Can someone please help me out I can’t fail this assignment

In this figure Q,R, Slie on a line as do P, R, T. Find the measure of ZPRS.
79
52
Q
R
s
P

Answer 1

∠PRS = 131°

Explanation:

Half a circle is 180°

Find ∠TRS

1. Subtract 180° from ∠VRT & ∠VRQ for ∠TRS

180° - 79° - 52° = 49° (∠TRS)

Find ∠QRP

2. Subtract 180° from ∠VRT & ∠VRQ for ∠QRP

180° - 79° - 52° = 49° (∠QRP)

Find ∠PRS

3. 180° + 180° = 360° (full circle)

Subtract 360° from ∠VRT, ∠VRQ, ∠QRP, ∠TRS

360° - 79° - 52° - 49° - 49° = 131° (∠PRS)

Answer 2

131°

Explanation:

They are vertically opposite angles