The measures of two complementary angles are (2x – 7)° and (x + 4)� – InterviewSolution

InterviewSolution

1.

The measures of two complementary angles are (2x – 7)° and (x + 4)°. Find x.

Answer»

We know that, sum of two complementary angles = 90°

∴ (2x – 7) + (x + 4) = 90°

2x - 7 + x + 4 = 90°

⇒ 2x + x – 7 + 4 = 90°

⇒ 3x – 3 = 90°

⇒ 3x = 90 + 3

⇒ 3x = 93

⇒ x = 93/3

x = 31

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