Two complementary angles differ by 20°. Find the angles. – InterviewSolution

InterviewSolution

1.

Two complementary angles differ by 20°. Find the angles.

Answer»

Let one angle be x.

So, complement of x = 90°- x

According to question,

x – (90°- x) = 20°

⇒ x – 90° + x = 20°

⇒ 2x = 20° + 90° = 110°

⇒ x = 110°/2 = 55°

∴ Complement of x = 90°- x = 90°- 55° = 35°

Thus, 55° and 35° are required complementary angles.

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