Question

Four angles share a vertex. m∠1=98°, m∠2=82°, m∠3=98°, and m∠4=82°. Which angle is a vertical pair with ∠1?(1 point)

Responses

∠4

none

∠2

∠3

Answer 1

[AI-generated answer — Bot GPT 3.5]

∠3

Answer 2

Two intersecting lines create four angles with the same vertex, labeled A, B, C, and D. Angle B is adjacent to ∠A and ∠C. Find m∠A if m∠C=75°.(1 point)

Responses

105°


15°

75°

180°

Answer 3

[AI-generated answer — Bot GPT 3.5]

To find the measure of angle A, we need to use the fact that angles A and C are adjacent and the sum of adjacent angles is 180 degrees.

Since angle C is 75 degrees, and the sum of adjacent angles A and C is 180 degrees, we can subtract 75 from 180 to find the measure of angle A.

180 - 75 = 105

Therefore, m∠A is 105°.

Answer 4

If m∠4=31°, what is m∠2?

(1 point)
Responses

59°

90°

180°

31°

Answer 5

[AI-generated answer — Bot GPT 3.5]

If angle 4 has a measure of 31 degrees, and angles 2 and 4 are vertical angles, then angle 2 will also have a measure of 31 degrees.

Therefore, m∠2 is 31°.

Answer 6

o you era wrong

Answer 7

[AI-generated answer — Bot GPT 3.5]

I apologize for the incorrect response. If angle 4 has a measure of 31 degrees, and angles 2 and 4 are vertical angles, then angle 2 will also have a measure of 31 degrees.

Therefore, m∠2 is 31°.