There are angles whose measures add to 180 degree their measures are m a=67 degree m b=(2x20) degree and m c=x degree what is the measure of b
To find the measure of angle B, we can use the information given:
Angle A = 67 degrees
Angle B = 2x20 degrees
Angle C = x degrees
Since the sum of all three angles is 180 degrees, we can set up an equation:
Angle A + Angle B + Angle C = 180 degrees
67 + (2x20) + x = 180
67 + 40x + x = 180
Combining like terms:
41x + 67 = 180
Subtracting 67 from both sides:
41x = 113
Dividing both sides by 41:
x = 113/41
Simplifying:
x ≈ 2.756
Therefore, the measure of angle B is:
Angle B = 2x20 degrees = 2(2.756)(20) degrees ≈ 110.24 degrees