There are angles whose measures add up to 180° their measures are M angle A equals 67° and angle B equals 2X +20° and M angle C equals X degrees what is the measure of angle B is the answer 82°, 31° 62° or 180°
To find the measure of angle B, we know that the sum of the measures of angles A, B, and C is 180°.
Angle A = 67°
Angle B = 2X + 20°
Angle C = X
Thus, the equation becomes:
67° + (2X + 20°) + X = 180°
Combine like terms:
3X + 87° = 180°
Subtract 87° from both sides:
3X = 93°
Divide both sides by 3:
X = 31°
Now we can substitute X back into the equation to find the measure of angle B:
Angle B = 2X + 20°
Angle B = 2(31°) + 20°
Angle B = 62° + 20°
Angle B = 82°
Therefore, the measure of angle B is 82°.