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If arc SQ = 84° and ∠RPS = 26°, what is the measure of arc RS? need answer asap thank you
4 months ago
Q:
If arc SQ = 84° and ∠RPS = 26°, what is the measure of arc RS? need answer asap thank you
Accepted Solution
A:
The angle formed by the intersection of tangent and secant outside the circle equals half the difference of the intercepted arcs ⇒
(arc RS - arc SQ)/2 = ∠RPS
(arc RS - 84)/2 = 26
arc RS - 84 = 26 * 2
arc RS - 84 = 52
arc RS = 52 + 84
arc RS = 136°