Question

Solve for x and then find the measure of

Answer 1

the answer should be 150

Answer 2

150°

Explanation:

<A and <B are alternate interior angles.

So, <A = <B

plugging the values

`8x - 10 = 3x + 90`

Move variable to L.H.S and change it's sign.

Similarly, Move constant to R.H.S and change it's sign

`8x - 3x = 90 + 10`

Collect like terms

`5x = 90 + 10`

Calculate the sum

`5x = 100`

Divide both sides of the equation by 5

`(5x)/(5) = (100)/(5)`

Calculate

`x = 20`

Now, Let's find the measure of <B

`< b = 3x + 90`

Plugging the value of X

`= 3 * 20 + 90`

Calculate the product

`= 60 + 90`

Calculate the sum

`=150`

Hope this helps...

Best regards!!