In a circle on the right, what is the measure of ∠SRT if arc AST is a semicircle and m∠SRA = 74?
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Given : arc AST is a semicircle and m∠SRA = 74°
To Find : measure of ∠SRT
Solution:
arc AST is a semicircle
=> AT is diameter
m ∠ART = 90° ( As angle subtended by diameter at circle = 90°)
m ∠SRA = 74°
m ∠SRT = m∠SRA + m∠ART
=> m ∠SRT = 74° + 90°
=> m ∠SRT = 164°
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