Question

Will give brainlliest :>

Answer 1

Answer:

48 degrees

Step-by-step 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

$\frac{5x}{5} =\frac{70}{5} \\x=14$

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!