Question

one of the complementary angles is 2 by 3 as large as the other . how many degrees are there in each angle​

Answer 1

Answer:

Two Angles are complementary when they add up to 90 degrees

Let x be the larger angle

x + 7/8x = 90

Combine like terms

15/8x = 90

Multiply 8/15 on both side

15/8x*8/15 = 90 * 8/15

x = 48

Smaller angle = 7/8 (x) = 7/8 (48) = 42

Larger angle = x = 48

To verify: 42 + 48 = 90

Answer 2

Answer:

"Two Angles are complementary when they add up to 90 degrees."

Let x be the larger angle  

x + 7/8x = 90

Combine like terms

15/8x = 90

Multiply 8/15 on both side

15/8x * 8/15 = 90 * 8/15

x = 48

Smaller angle = 7/8 (x) = 7/8 (48) = 42

Larger angle = x = 48

"To verify: 42 + 48 = 90."