Answer:
75 degrees
Step-by-step explanation:
In a parallelogram, adjacent angles always add up to 180 degrees. So, for example, A+B=180 and C+B=180.
Therefore, A+D=180.
Because we're given that angle A is (x+30) degrees and angle D is x degrees, we can plug them into the below equation:
[tex](x+30)+x=180[/tex]
Open up the parentheses
[tex]x+30+x=180\\2x+30=180[/tex]
Subtract both sides by 30
[tex]2x-30=180-30\\2x=150[/tex]
Divide both sides by 2
[tex]\frac{2x}{2} =\frac{150}{2} \\x=75[/tex]
Therefore, x is equal to 75 degrees.
I hope this helps!
