Question

there are angles whose measures add to 180 their measures are: m<A=67
m<B=(2x+20)

Answer 1

To find the measure of angle B, we can use the fact that the sum of the measures of angles in a triangle is 180 degrees.

We have the measure of angle A: m<A = 67 degrees.

Let's find the measure of angle B.
m<A + m<B = 180
67 + (2x + 20) = 180

Combine like terms:
2x + 87 = 180

Subtract 87 from both sides:
2x = 93

Divide both sides by 2:
x = 46.5

Now we can find the measure of angle B:
m<B = 2x + 20
m<B = 2(46.5) + 20
m<B = 93 + 20
m<B = 113

Therefore, the measure of angle B is 113 degrees.