Q. 904.3( 7 Votes )

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

Answer :

Let one of the angle be x, then other will be x – 20

According to the question,

x + (x – 20) = 90° [∵ sum of the complementary angles is 90°]

⇒ 2x – 20 = 90°

⇒ 2x = 90° + 20

⇒ 2x = 110°

⇒

⇒ x = 55°

Hence, the required angles are 55° and (55 – 20) ° i.e. 55° and 35°

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