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1) Identify the angle pair and solve for x.
m < a = (10x)⁰ m < b = 80°

1) Identify the angle pair and solve for x. m < a = (10x)⁰ m < b = 80°-example-1

1 Answer

2 votes

Answer:

  • x = 10

Explanation:

From the given figure,

a and b are the co- interior angles.

Since we know that co- interior angles on parallel sides are supplementary [add upto 180°]


\sf a + b = 180\degree


\sf m\angle a + m\angle b = 180\degree

Now simply the value of a and b here,


\sf 10x + 80 = 180

Subtract 80 from both sides,


\sf 10x + 80 - 80 = 180 - 80


\sf 10x = 100

Divide both sides by 10,


\sf (10x)/(10) = (100)/(10)


\pmb {x = 10}

So the value of x is 10.

User Xjasz
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