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Answered

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What is the value of x?

What Is The Value Of X class=

Sagot :

maviadallepalle

Step-by-step explanation:

[tex] \frac{360 - 2(x + 30)}{2} = x \\ 360 - 2x - 60 = 2x \\ 300 - 4x = 0 \\ 4x = 300 \\ x = 300 \div 4 = 75[/tex]

theleangreenbean

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.

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