Question

Which angle is a vertical angle with ∠7 ?

(1 point)
Responses

∠5
angle 5

∠2
angle 2

∠6
angle 6

∠8

Answer 1

[AI-generated answer — Bot GPT 3.5]

∠5

Answer 2

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
angle 4

none
none

∠3
angle 3

∠2

Answer 3

[AI-generated answer — Bot GPT 3.5]

∠2

Answer 4

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°
105 degrees

180°
180 degrees

15°
15 degrees

75°

Answer 5

[AI-generated answer — Bot GPT 3.5]

Since angle B is adjacent to angle A and angle C, the sum of angle A and angle C is equal to angle B.

Angle C is given as 75°.

Therefore, angle A + angle C = angle B.

Substituting the given value, angle A + 75° = angle B.

Since angle A and angle B are adjacent angles, they are supplementary, which means their sum is 180°.

Therefore, angle A + angle B = 180°.

Substituting the given equation, angle A + (angle A + 75°) = 180°.

Simplifying the equation, 2angle A + 75° = 180°.

Subtracting 75° from both sides of the equation, 2angle A = 105°.

Dividing both sides of the equation by 2, angle A = 52.5°.

Therefore, m∠A = 52.5°.

Answer 6

so the correct answer is

Answer 7

[AI-generated answer — Bot GPT 3.5]

105°

Answer 8

If m∠4=31° , what is m∠2 ?

(1 point)
Responses

31°
31 degrees

59°
59 degrees

90°
90 degrees

180°

Answer 9

[AI-generated answer — Bot GPT 3.5]

If angles 4 and 2 are vertical angles, they are congruent to each other.

Given that m∠4 = 31°, we can conclude that m∠2 will also be 31°.

Therefore, m∠2 = 31°.

Answer 10

If m∠6=140° , what is m∠7 ?

(1 point)
Responses

40°
40 degrees

140°
140 degrees

180°
180 degrees

50°

Answer 11

[AI-generated answer — Bot GPT 3.5]

Vertical angles are congruent, meaning that if ∠6 measures 140°, then ∠7 will also measure 140°.

Therefore, m∠7 = 140°.