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What is the value of x?

What is the value of x?-example-1
User Dsaket
by
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2 Answers

12 votes
12 votes

Explanation:


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

User Daniel Kivatinos
by
2.5k points
27 votes
27 votes

Answer:

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!

User Barmaley
by
2.9k points
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