Question

Find the measure of such angle whose supplementary angle is 35° more than twice of its complementary angle.

Answer 1

ANSWER

Complementary angles are those pair of angles whose sum is 90 degrees.

Let x be the measure larger angle and y be the measure of smaller angle.

According to the given condition,

x = 2y - 3

We know that x + y = 90,

Substituting we get,

2y - 3 + y = 90

3y = 93

y = 31 degrees

then we get

x = 2 (31) - 3

x = 59 degrees

Answer 2

Let the angle be x Two Angles are Complementary if they add up to 90 degrees Two Angles are Supplementary if they add up to 180 degrees. Its complement = 90-x Its supplement = 180-x 180-x = 35 + 2 ( 90-x) 180-x = 35 +180 - 2x x = 35 ANSWER angle = 35 degrees supplement = 145 degrees complement = 55 degrees