Question

Two angles are complementary. The first angle is 2X degrees. The second angle is X +30° determine the larger angle

Answer 1

complimentary angles, when added = 90 degrees

2x + x + 30 = 90
3x + 30 = 90
3x = 90 - 30
3x = 60
x = 60/3
x = 20

2x ..... 2(20) = 40
x + 30 ....20 + 30 = 50 <=== larger angle

Answer 2

The larger angle is the second one, which is equal to 50°.

Explanation:

Givens

• The two angles are complementary. (This means the sum of them is equal to 90°, because they form a right angle)
• The first angle is defined as
  `2x` and the second angle is
  `x+30`.

So,

`2x+x+30=90`, because both angles must sum 90°, by defintion of complementary angles.

Then, we solve for
`x`

`3x=90-30\\x=(60)/(3)\\ x=20`

Now, we substitue this value in each angle expression

First angle:
`2x=2(20)=40\°`

Second angle:
`x+30=20+30=50\°`

Therefore, the larger angle is the second one, which is equal to 50°.