Answer the question fastly with explanation
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37 is the answer
Step-by-step explanation:
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Step-by-step explanation:
Given that,
ΔQPS = ΔSRQ.
Now, in the ΔSRQ,
∠Q = 42° and ∠R =2x + 12°
We know that sum of the angles in a Δ is 180°.
So, in the ΔSRQ,
Sum of the angles = 180°
⇒∠S + ∠R + ∠Q = 180°
⇒ x + 2x + 12° + 42° = 180° ( Let ∠S = x )
⇒ 3x + 54° = 180°
⇒ 3x = 180° - 54°
⇒3x = 126°
⇒ x = 126°/ 3
⇒x = 42°
∴∠S= x = 42°
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