Question

Two angles are complementary.the measure of one angle is 15 more than twice the other.what is the measure of the smaller angle ?
1) 25
2)35
3)55
4)65

Answer 1

Measure of the smaller angle = 25

Complementary angles sums up to 90°.

let

measure of the smaller angle = x

measure of bigger angle = 15 + 2x

Therefore,

15 + 2x + x = 90°

15 + 3x = 90°

90 - 15 = 3x

75 = 3x

x = 75 / 3

x = 25

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