Problem: In the figure, PS = SQ = RS and AP = 30°. Find x.

View all: UCBL BANK (TO) | WRITTEN QUESTION (MATH) SOLVE | 2014

Correct Answer: ans: 90°

Explanation:

PS = RS

$\angle$SRQ = $\angle$SPR = 30°

$\angle$PSR = 120°

So, $\angle$QSR = 60°

Here, SQ = RS

SO, $\angle$SQR = $\angle$SRQ

As $\angle$QSR = 60°

$\angle$SQR = $\angle$SRQ = 60°

$\angle$x =180° – (60° + 30°) = 180° – 90° = 90°

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