Question

Two complementary angles are such that one is 14 more than three times the second angle. what is the measure of larger angle? ?

Answer 1

Let one angle be x
then second angle=3x+14
Complementary angle =90°
x+3x+14=90°
4x+14=90°
4x=90°-14
4x=76°
x=76/4=19°

One angle =x=19°
Second angle=3x+14=3×19+14=71°

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Answer 2

let the second angle be x
14+3x+x=90
14+4x=90
4x=76
x=19
largest angle =14+3×19=71