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∠POR is a right angle and ray OQ lies inside it, with ∠POQ = $(2 x - 6)$ ° and ∠QOR = $(x + 15)$ °. Find $x$ .

Class 7Complementary and Supplementary AnglesLines and Angles

A25
B30
C27
D57

Step-by-Step Solution

The two parts make the right angle, so they are complementary:

(2 x - 6) + (x + 15) = 90 \Rightarrow 3 x + 9 = 90 \Rightarrow x = 27

.

Answer: C) 27

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