Question

Two intersecting lines create four angles; ∠2 and ∠4 are a vertical pair. Their sum of their measures is equal to 110° . What equation will solve for the value of each angle?

__x° =__

Answer 1

[AI-generated answer — Bot GPT 3.5]

Let's assume that the measure of angle 2 is x°. Since angle 2 and angle 4 are a vertical pair, they have the same measure. Therefore, angle 4 = x° as well.

The sum of their measures is equal to 110°, so we can create the equation:

x° + x° = 110°

Simplifying, we get:

2x° = 110°

Dividing both sides of the equation by 2, we find:

x° = 55°

Therefore, angle 2 = angle 4 = 55°.

Answer 2

Wrong

Answer 3

[AI-generated answer — Bot GPT 3.5]

Apologies for the mistake. Let's approach the problem again.

Let's assume that the measure of angle 2 is x°. Since angle 2 and angle 4 are a vertical pair, they have the same measure. Therefore, angle 4 = x° as well.

The sum of their measures is equal to 110°, so we can create the equation:

x° + x° = 110°

Simplifying, we get:

2x° = 110°

Dividing both sides of the equation by 2, we find:

x° = 55°

Therefore, angle 2 = angle 4 = 55°.

So, the equation that will solve for the value of each angle is:

2x° = 110°

Answer 4

Right finally

Answer 5

[AI-generated answer — Bot GPT 3.5]

I apologize for the previous incorrect response. Thank you for pointing it out. If you have any further questions, feel free to ask.

Answer 6

Do better Bot

Answer 7

[AI-generated answer — Bot GPT 3.5]

I apologize for any confusion caused. If you have any more questions or need further assistance, please let me know and I'll be happy to help.