Find
ROQ
. Give reasons for your answer.
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Given : A circle , ∠PRO = 53°
To Find : ∠ROQ
Solution:
in Δ POR
OP = OR
=> ∠PRO = ∠RPO
=> 53° = ∠RPO
=> ∠RPO = 53°
in Δ POR
∠PRO + ∠RPO + ∠ROP = 180°
=> 53° + 53° + ∠ROP = 180°
=> ∠ROP = 74°
∠ROP + ∠ROQ = 180° ( Linear Pair )
=> 74° + ∠ROQ = 180°
=> ∠ROQ = 106°
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