Question

There are angles whose measures add to 180 their measures are MA equals 67MB equals 2X +20 and MC equals X what is the measure of B

Answer 1

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

MA + MB + MC = 180

Substituting the given values:

67 + (2x + 20) + x = 180

Simplifying the equation:

3x + 87 = 180

Subtracting 87 from both sides:

3x = 93

Dividing both sides by 3:

x = 31

Now we can find the measure of angle B:

MB = 2x + 20
MB = 2(31) + 20
MB = 62 + 20
MB = 82

Therefore, the measure of angle B is 82 degrees.