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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