Question

out of a pair of complimentary angles, one is 2/3 of the other. find the angles

Answer 1

hey friend
here is ur answer
one of the complementary angles be x
another angle is equal to 2 x/3

according to question
x+2x/3=90
3x+2x/3=90
5x=90×3=270
×=270/5=54 degree

another complementary angle is equal to

2×54/3=36 degree

Answer 2

here x + y = 90
x + 2/3 x = 90 (according to question)
5x = 90 × 3
x = 54
and y = 90 - 54 =36
hence x= 54 and y =36 degree