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

31°
31 degrees

82°
82 degrees

180°
180 degrees

62°

Answer 1

[AI-generated answer — Bot GPT 3.5]

The sum of all three angle measures must be 180°.

Therefore, we have:
67° + (2x + 20)° + x° = 180°

Now, solve for x:
67° + 2x + 20° + x° = 180°
87° + 3x° = 180°
3x = 93
x = 31

Now, plug in x = 31 to find the measure of angle B:
2(31) + 20 = 82°

Therefore, the measure of ∠B is 82°.