Question

There are angles whose measures add 280° their measures are in angle equals 67° and an angle B equals 2X +20° and M angle C equals X what is the measure of angle B would it be 82°, 31° 62° or 180° degrees

Answer 1

To find the measure of angle B, we can use the given equation:

Angle B + Angle C = 280°

Substituting the values given:

(2X + 20°) + X = 280°

Combine like terms:

3X + 20° = 280°

Subtract 20° from both sides:

3X = 260°

Divide both sides by 3:

X = 260° / 3

X ≈ 86.67°

To find the measure of angle B, substitute X back into the equation:

Angle B = 2X + 20°

Angle B ≈ 2(86.67°) + 20°

Angle B ≈ 173.33° + 20°

Angle B ≈ 193.33°

Therefore, the measure of angle B would be approximately 193.33°. None of the given options (82°, 31°, 62°, or 180°) are correct.