Question

Please help me it a test grade and it's do today

Answer 1

`x = 16`

Explanation:

Because of the fact, the angle is ∠BCA = 10x - 10 and ∠ABC = 30 lies on a straight line and ∠BCA is obtuse while ∠ABC is acute, we can just set them equal to 180 to find the value of x.

So we will set up the equation:
10x - 10 + 30 = 180

1. Combine Like Terms (eg. -10 and 30)

`10x - 10 + 30 = 180`
=
`10 x + 20 = 180`

2. Subtract 20 on both sides

`10x + 20 = 180`

`-20 -20`

=
`10x = 160`
3. Divide 10 into both sides

`(10x)/(10) = (160)/(10)`

And we will get:

`x = 16`

Check Your Work!
Now if we replace x in the equation for 16 like below we do in fact get 180:

`10(16) - 10 + 30 = 180`

`160 - 10 + 30 = 180`

`150 + 30 = 180`

`180 = 180`

So in short, x = 16