Question

Will give brainlliest :>

Answer 1

48 degrees

Explanation:

1) Solve for x

Complementary angles add up to 90 degrees. Therefore, m<A + m<B is equal to 90:

`A+B=90\\(2x+20)+(3x)=90`

Open up the parentheses

`2x+20+3x=90\\5x+20=90`

Subtract 20 from both sides

`5x+20-20=90-20\\5x=70`

Divide both sides by 5

`(5x)/(5) =(70)/(5) \\x=14`

Therefore, x is equal to 14.

2) Determine angle A

`A=2x+20`

Substitute x with 14

`A=2(14)+20\\A=28+20\\A=48`

Therefore, the measure of angle A in degrees is 48 degrees.

I hope this helps!