In figure $ PQ \left|\right| SR$ and $ SP \left|\right| RQ$. Then, angles $ a$ and $ b$ are respectively

$20 °, 50 °$

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$50 °, 20 °$

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$30 °, 50 °$

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$45 °, 35 °$

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Solution

The correct option is A
$20 °, 50 °$

Solve for $a$ and $b$
As $P Q ∥ S R$ and $P R$ is transversal
$\Rightarrow ∠ Q P R = ∠ S R P$ (alternate interior angles)
$\Rightarrow a = 20 °$
similarly as $S P ∥ R Q$ and $P R$ is transversal
$\Rightarrow ∠ S R P = ∠ Q R P$
$\Rightarrow b = 50 °$
Hence option(A) is correct.

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In figure $ PQ \left|\right| SR$ and $ SP \left|\right| RQ$. Then, angles $ a$ and $ b$ are respectively

The correct option is A 20°,50°Solve for a and bAs PQ∥SR and PRis transversal⇒∠QPR=∠SRP (alternate interior angles)⇒a=20°similarly as SP∥RQ and PRis transversal⇒∠SRP=∠QRP⇒b=50°Hence option(A) is correct.