There are 2 angles whose measures add to 180. Their measures are MA equal 67 MB equals 2X plus 20. And m c equals x what is the measure of b

Answer 1

Let's solve for x by setting up the equation:

MA + MB + MC = 180

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

Combine like terms:

67 + 2x + 20 + x = 180

3x + 87 = 180

Subtract 87 from both sides:

3x = 93

Divide by 3:

x = 31

Now that we have the value of x, we can substitute it back into MB:

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

So, the measure of angle B is 82 degrees.