Question

11. In the given figure, QS = QT and RU = RT. ZQPR =
36º. Find angle STU.
(A) 96
(B) 84°
(C) 72 (D) 60​

Answer 1

Answer:

option (d) 60 is correct according to me

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Step-by-step explanation:

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Answer 2

Answer - 72°

Step-by-step explanation:

Assuming angle PQR = 90°

Angle PQR + Angle QPR + Angle PRQ = 180°

Therefore, 90° + 36° + Angle PRQ = 180°

Angle PRQ = 54°

As, RU = RT, triangle RUT is an isosceles triangle, therefore base angles are equal. 180° - 54° = 126°.

Therefore, each angle is 63°

Similarly, for isosceles triangle QST, 180° - 90° = 90°

Therefore, each angle i.e. angle QST = QTS = 45°

At point P the total angle would be 180°

Therefore, angle QTS + angle STU + angle RTU = 180°

Hence, angle STU = 180° - 63° - 45° = 72°