Question

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

Answer 1

• 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.