Question

if two complementary angles are in the ratio 7:8 then the angles are

Answer 1

Answer:

42° and 48°

Step-by-step explanation:

We know that Complementary angles sum upto 90 degrees.

Let the angles be 7x and 8x

⇒ 7x + 8x = 90

⇒ 15x = 90

⇒ x = 90 / 15 = 6

Angles are: 7x = 7 × 6 = 42° ; 8x = 8 × 6 = 48°

Hence 42° and 48° are the respective angles.

Answer 2

Answer:

Step-by-step explanation:

Since the two are complementary angles their sum is equal to 90 degrees

Let the first angle be 7x and the second be 8x

Then ,

7x + 8x = 90°

15x = 90°

x = 6

Therefore the angles are 7x = 42° and 8x = 48°