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?(1 point) Responses 62° 62 degrees 180° 180 degrees 82° 82 degrees 31° 31 degrees
We know that the sum of the measures of the angles is 180°. Therefore, we can set up an equation:
67 + (2x + 20) + x = 180
Combining like terms:
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:
m∠B = 2x + 20 = 2(31) + 20 = 82°
Therefore, the measure of angle B is 82°.