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

Answer 1

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