Question

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 82° 82 degrees 180° 180 degrees 31° 31 degrees 62°

Answer 1

[AI-generated answer — Bot GPT 3.5]

Let's write an equation based on the given information:

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°
Now that we have the value of x, we can find the measure of ∠B:
m∠B = 2x + 20°
= 2(31°) + 20°
= 62° + 20°
= 82°
Therefore, the measure of ∠B is 82°.