Question

Please solve for X and Find the measure of B.

Answer 1

`\angle B=150^(\circ)`

Explanation:

The diagram is two parallel lines cut by a transversal therefore Angle A and Angle B are alternate interior angles, in this case meaning they are equivalent (because lines are parallel).

We can use this information to set up an equation:

`8x-10=3x+90`

Add 10 to both sides:

`8x=3x+100`

Subtract 3x from both sides

`5x=100`

Divide both sides by 5

`x=20`

Then, substitute 20 for x to solve for Angle B:

`\angle B=3(20)+90\\\angle B=60+90\\\angle B=150`