Question

Help me pls find m<b. also to the best of your ability, pls explain it in your answer.

Answer 1

The measure of angle B is equal to 60 degrees.

In order to find this, we can first note that the angle C (in the right side triangle) is equal to 80 degrees. We can tell this because it creates a straight line with the other angle C and therefore the two combined give us 180 degrees.

Then we can add angle A, B and C together in the right side triangle to get 180 degrees since they are all the measures of angles in a triangle.

A + B + C = 180

2x + 3x + 80 = 180

5x + 80 = 180

5x = 100

x = 20

Now that we have the x value, we can plug into the equation for B.

B = 3x

B = 3(20)

B = 60