Question

the measure of two complimentary angles are (3x+10) and( 2x+3) what is the measure of the larger angle? A. 86.2 B. 33.8 C. 15.4 D.56.2

Answer 1

since it’s complimentary you have to do 3x+10+2x+3=90 which gives you 77
Then you must plug 77 into x for each one which makes the answer D. 55.2 because that’s what you get when you do 3(77)+10

Answer 2

ANSWER

The largest angle is

`56.2 \degree`

Step-by-step explanation

If two angles are complementary, then they must sum up to 90°.

The given angles are

`(3x + 10) \degree`
and


`(2x + 3) \degree`

Their sum must give us 90°.

This implies that,


`(3x + 10) + (2x + 3) = 90`

We group like terms to get,


`3x + 2x = 90 - 10 - 3`

This gives,


`5x = 77`

Divide both sides by 5 to get,


`x = (77)/(5)`


`x = 15.4`

The largets angle is


`3(x) + 10`


`=3(15.4) + 10`


`=46.2+ 10 = 56.2\degree`

The correct answer is D