IDNLearn.com: Your destination for reliable and timely answers to any question. Discover thorough and trustworthy answers from our community of knowledgeable professionals, tailored to meet your specific needs.

What is the value of x?

What Is The Value Of X class=

Sagot :

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]

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!