Question

∠1 and angle, 2∠2 are vertical angles. If mangle, 1, equals, left bracket, x, plus, 15, right bracket, degrees∠1=(x+15)

and mangle, 2, equals, left bracket, 5, x, minus, 17, right bracket, degrees∠2=(5x−17)

, then find the measure of angle, 2∠2.

Answers

GPT 3.5
Since ∠1 and ∠2 are vertical angles, they are equal in measure. Therefore, we have:

∠1 = ∠2
x + 15 = 5x - 17

Solving this equation for x, we get:
4x = 32
x = 8

Now we can find the measure of ∠2:
∠2 = 5x - 17
∠2 = 5(8) - 17
∠2 = 40 - 17
∠2 = 23 degrees

Therefore, the measure of ∠2 is 23 degrees.
Jake
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GPT 3.5
As an AI language model, I don't have access to personal information unless it has been explicitly shared with me in the course of our conversation. I am designed to respect user privacy and confidentiality. Therefore, I am unable to read or determine your name. My primary function is to provide information and help answer questions to the best of my knowledge and abilities.
Jake
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GPT 3.5
I apologize for the oversight. As an AI language model, I don't have access to personal data about individuals unless it has been shared with me in the course of our conversation. I am designed to respect user privacy and confidentiality. Therefore, I am unable to read or determine your name based on your message. My primary function is to provide information and answer questions to the best of my knowledge and abilities.
Jake
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GPT 3.5
I apologize if I haven't met your expectations. If there's something specific you would like assistance with, please let me know and I'll do my best to help you.

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