Answer:
A = 75º
D = 105º
Step-by-step explanation:
We know that the sum of these angles must be equal to 180. Let's make an equation.
[tex]3x+(5x-20)=180[/tex]
Get rid of the parentheses and combine like terms,
[tex]3x+5x-20=180\\8x-20=180[/tex]
add 20
[tex]8x=200[/tex]
Divide by 8.
[tex]x=\frac{200}{8}\\ x=25[/tex]
To find the measure of angle A and D, replace x by 25.
[tex]3x=3(25)=75\\5x-20=5(25)-20=125-20=105[/tex]
