Question

If arc sq = 92° and arc qr = 86°, what is the measure of ∠rps?

Answer 1

If arc sq = 92° and arc qr = 86°, what is the measure of ∠rps?  

The question is what is the measure of ∠rps, perhaps measure of ∠rqs because p is not in the hypothesis

So the solution is measure of ∠rqs = measure of arc sq + measure of arc qr

Finally ∠rqs= 92° + 86° = 178°

Answer 2

Answer: D) 45 degrees

Step-by-step 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°

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