Question

What is the value of x?

Answer 1

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:

$(x+30)+x=180$

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

$\frac{2x}{2} =\frac{150}{2} \\x=75$

Therefore, x is equal to 75 degrees.

I hope this helps!

Answer 2

Step-by-step explanation:

$\frac{360 - 2(x + 30)}{2} = x \\ 360 - 2x - 60 = 2x \\ 300 - 4x = 0 \\ 4x = 300 \\ x = 300 \div 4 = 75$