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:
[tex]A+B=90\\(2x+20)+(3x)=90[/tex]
Open up the parentheses
[tex]2x+20+3x=90\\5x+20=90[/tex]
Subtract 20 from both sides
[tex]5x+20-20=90-20\\5x=70[/tex]
Divide both sides by 5
[tex]\frac{5x}{5} =\frac{70}{5} \\x=14[/tex]
Therefore, x is equal to 14.
2) Determine angle A
[tex]A=2x+20[/tex]
Substitute x with 14
[tex]A=2(14)+20\\A=28+20\\A=48[/tex]
Therefore, the measure of angle A in degrees is 48 degrees.
I hope this helps!
