Question

Please solve for X and Find the measure of B.

Answer 1

Answer:

$\angle B=150^{\circ}$

Step-by-step 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:

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