There are angles whose measures add to 180. Their measures are: m A =67 m B=(2x+20), and m C=X. What is the measure of B?

Answer 1

Since the measures of the angles A, B, and C add up to 180 degrees, we can set up the following equation:

m A + m B + m C = 180
67 + (2x + 20) + x = 180
67 + 2x + 20 + x = 180
3x + 87 = 180
3x = 93
x = 31

Now that we have found the value of x, we can substitute it back into the equation for the measure of angle B:

m B = 2x + 20
m B = 2(31) + 20
m B = 62 + 20
m B = 82

So, the measure of angle B is 82 degrees.