Question

Arc SQ = 92° and arc QR = 86°, what is the measure of ∠RPS?

Answer 1

Answer 91 degrees

360-93-86=182/2=91

Answer 2

45°

Explanation:

First, find arc RS.

arc RS = 360 - 92 - 86 = 182

then,

∠RPS =

1

2

(arc RS - arc SQ)

∠RPS =

1

2

(182 - 92)

∠RPS =

1

2

(90)

∠RPS = 45°