SSC CPO SI and ASI Model Paper 9

Question : 129 of 200

Marks: +1, -0

In triangle PQR, the difference between the measure of the angles P and Q is 35° and the difference between the measure of the angles Q and R is 26°. What is the measure of the angle Q?

72°
27°
57°
75°

Validate

Solution:

Given,

∠P =35°+∠Q and∠R= ∠Q - 26°

Sum of angles in the triangle,

∠P + ∠Q + ∠R = 180°

(35 ° +∠Q) +∠Q+(∠Q-26 °)=180

3∠Q = 171°⇒∠Q = 57°

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