In figure line PQ and RS intersect at O. If angle ROQ = 90 degree a:b=1:5 find the value of C
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In figure line PQ and RS intersect at O. If angle ROQ = 90 degree a:b=1:5 find the value of C
In figure line PQ and RS intersect at O. If angle ROQ = 90 degree a:b=1:5 find the value of C
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Verified answer
[tex]{❥}\fbox\red{A}\fbox\orange{N}\fbox\purple{S}\fbox\green{W}\fbox\blue{E}\fbox\pink{R}[/tex]
Required answer-:
∠POR=3∠ROQ (Given)
∠POR+∠ROQ=180° (Linear pair)
⇒3∠ROQ+∠ROQ=180°
⇒4∠ROQ=180°
⇒∠ROQ=[tex]\frac{180°}{4}[/tex] =45°
Now ∠SOQ=∠POR
=3∠ROQ (Ver. opp. ∠s)
=3×45°=135°
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