Question
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 82° 82 degrees 31° 31 degrees 180°
Answers
GPT 3.5
To find the measure of ∠B, we can set up an equation using the fact that the sum of the angles in a triangle is 180°.
m∠A + m∠B + m∠C = 180
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
So the measure of ∠B is (2x + 20)°:
(2*31 + 20)° = 82°
Therefore, the measure of ∠B is 82°.
m∠A + m∠B + m∠C = 180
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
So the measure of ∠B is (2x + 20)°:
(2*31 + 20)° = 82°
Therefore, the measure of ∠B is 82°.