Question

One of pair of complementary angle , one is two - third of the other. Find the angles​

Answer 1

Answer:

Hope it helps you to understand it easily...................

Step-by-step explanation:

/-Let, the measure of one of the angle be X.

/-Then, the other angle will be =2/3×X=2/3X

/- We know that ,the sum of two complementary angles is 90°...........

According to the question............

or,2/3X+X=90°

or,2/3X+(X×3/3)=90°(making the denominators equal for addition)

or,2/3X+3/3X=90°

or,5/3X=90°

or,X=90×3/5

or,X=270/5

or,X=54(Answer)

Hence,The measure of one angle=X=54°

Now,The measure of another angle=2/3X

=2/3×54

=36°

Hence,the measure of the angles are 54° and 36°.