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In the given figure, PQ = PS = SR and ∠QPS = 40°, then what is the value of ∠QPR (in degrees)?
In the given figure, PQ = PS = SR and ∠QPS = 40°, then what is the value of ∠QPR (in degrees)?
Answer & Solution
Correct Answer:
Option
C
∠PQS = ∠PSQ = $$\frac{{{{180}^ \circ } - {{40}^ \circ }}}{2}$$ = 70°
∠PSR = 180° - 70° = 110°
∠SPR = ∠SRP = $$\frac{{{{180}^ \circ } - {{110}^ \circ }}}{2}$$ = 35°
∠QPR = ∠QPS + ∠SPR
= 40° + 35°
= 75°
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