Question

There are two vertical angles in a figure with measures m∠1=(2x−16)°
and m∠2=98°
. What equation will solve for x
?

Answer 1

Answers for the practice:

1. (2x - 16 = 98)
2. (2x = 110)
3. (x + 35 = 125)
4. 35
5. 43

I will come back with the quick check answers!

Answer 2

1. (3x° − 75° = 106°)
2. (2x° = 68°)
3. 150
4. 18
5. 53

I got an 80% because I trusted a bot but here are the correct answers

Answer 3

thanks who ever you are

Answer 4

For two angles to be vertical angles, they must be congruent. So we can set up the equation:

m∠1 = m∠2

(2x-16)° = 98°

Simplifying the equation, we have:

2x - 16 = 98

Now we can solve for x:

2x = 98 + 16

2x = 114

x = 114/2

x = 57

So the equation that will solve for x is 2x - 16 = 98.

Answer 5

Quick Check answers:
1. (2x - 16 = 98) - Correct
2. (2x = 110) - Correct
3. (x + 35 = 125) - Incorrect; the correct equation is x + 35 = 180 (since vertical angles are congruent and add up to 180 degrees)
4. 35 - Correct
5. 43 - Correct

Answer 6

I apologize for the incorrect answers. Here are the correct answers:

1. (3x° − 75° = 106°) - Correct
2. (2x° = 68°) - Correct
3. 150 - Incorrect; the correct answer is 180 (since vertical angles are congruent and add up to 180 degrees)
4. 18 - Incorrect; the correct answer is 26 (since vertical angles are congruent)
5. 53 - Correct

I apologize for any confusion caused. Thank you for providing the correct answers.