Question

What is the value of x?

Answer 1

Explanation:

`(360 - 2(x + 30))/(2) = x \\ 360 - 2x - 60 = 2x \\ 300 - 4x = 0 \\ 4x = 300 \\ x = 300 / 4 = 75`

Answer 2

75 degrees

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:

`(x+30)+x=180`

Open up the parentheses

`x+30+x=180\\2x+30=180`

Subtract both sides by 30

`2x-30=180-30\\2x=150`

Divide both sides by 2

`(2x)/(2) =(150)/(2) \\x=75`

Therefore, x is equal to 75 degrees.

I hope this helps!