Question

If two complementary angles are in the ratio 7:8 find the angles

Answer 1

let the angles be 7x and 8x

sum of complementary angles is 90°

according to question,

7x+8x=90°

15x=90°

x=6

now ,

the angles are-

7x=7*6=42°

8x=8*6=48°

therefore the two angles are 42°and 48°

Hope it's help u

Answer 2

Answer:

Let the first angle be 7x°.

Let the second angle be 8x°.

Sum of a pair of complementary angles=90°.

Then, according to the question,we have:

7x+8x=90

=15x=90

=X=90÷15

=X=6

Hence, first angle=7x°=(7×6)°=42°.

Second angle=(8×6)°=48°.

Hence,the complementary angles are 42°and48° respectively.