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Question

In the given figure; PQR is a straight line. If ∠SQR = 75°; find ∠PQS.

A
115°
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B
105°
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C
95°
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D
125°
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Solution

The correct option is B 105°

Given,
PQR is a straight line.

In the given figure,
∠PQS + ∠SQR = 180°
[linear pair angles]
∠PQS + 75° = 180°

On further calculation, we get,

∠PQS = 180° – 75°
∠PQS = 105°


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