Question

There are two complementary angles, ∠5 and ∠6 . If m∠5=39° , what equation can you write to solve for m∠6 ?(1 point)

Responses

m∠6+39°=180°
x plus 39 degrees equals 180 degrees

m∠6+39°=90°
x plus 39 degrees equals 90 degrees

m∠6=180°−39°
x equals 180 degrees minus 39 degrees

m∠6=39°

Answer 1

[AI-generated answer — Bot GPT 3.5]

x equals 39 degrees

Answer 2

pick the correct response

Answer 3

[AI-generated answer — Bot GPT 3.5]

m∠6=180°−39°

x equals 180 degrees minus 39 degrees

Answer 4

Two angles, ∠1

∠
1
and ∠2
∠
2
, in a diagram are supplementary. If m∠1=77° , what equation can you write to solve for m∠2 ? Let m∠2=x°
�
∠
2
=
�
°
(1 point)
Responses

x°+77°=90°
x plus 77 degrees equals 90 degrees

x°=77°
x equals 77 degrees

x°+77°=180°
x plus 77 degrees equals 180 degrees

x°=90°−77°

Answer 5

[AI-generated answer — Bot GPT 3.5]

x plus 77 degrees equals 180 degrees

Answer 6

There are angles whose measures add to 180°

180
°
. Their measures are: m∠A=67° , m∠B=(2x+20)° , and m∠C=x° . What is the measure of ∠B ?(1 point)
Responses

62°
62 degrees

82°
82 degrees

31°
31 degrees

180°

Answer 7

[AI-generated answer — Bot GPT 3.5]

m∠A + m∠B + m∠C = 180°

67° + (2x + 20)° + x° = 180°

3x + 87° = 180°

3x = 180° - 87°

3x = 93°

x = 93° / 3

x = 31°

To find the measure of ∠B, substitute x = 31° into the equation:

m∠B = 2x + 20°

m∠B = 2(31°) + 20°

m∠B = 62° + 20°

m∠B = 82°

Therefore, the measure of ∠B is 82 degrees.

Answer 8

If there are two supplementary angles, ∠D

∠
�
and ∠E
∠
�
, where m∠D=(4x+8)° and m∠E=(x+17)°, and ∠F is a vertical angle with ∠D, what is the measure of ∠F?



(1 point)
Responses

48°
48 degrees

31°
31 degrees

124°
124 degrees

132°

Answer 9

[AI-generated answer — Bot GPT 3.5]

Since ∠D and ∠E are supplementary, their measures add up to 180°:

m∠D + m∠E = 180°

(4x + 8)° + (x + 17)° = 180°

5x + 25° = 180°

5x = 180° - 25°

5x = 155°

x = 155° / 5

x = 31°

Now, to find the measure of ∠F, we can use the fact that vertical angles are congruent. So, ∠F has the same measure as ∠D:

m∠F = m∠D = (4x + 8)°

m∠F = 4(31°) + 8°

m∠F = 124° + 8°

m∠F = 132°

Therefore, the measure of ∠F is 132 degrees.

Answer 10

In a geometric diagram, ∠A and ∠B are complementary, and they form a straight line with ∠C. If m∠A=x°, m∠B=(2x)°, and m∠C=90°, what is the measure of ∠B?(1 point)

Responses

60°
60 degrees

180°
180 degrees

30°
30 degrees

90°

Answer 11

[AI-generated answer — Bot GPT 3.5]

Since ∠A and ∠B are complementary angles, their measures add up to 90°:

m∠A + m∠B = 90°

x° + (2x)° = 90°

3x° = 90°

x° = 90° / 3

x° = 30°

Therefore, the measure of ∠B is 2x°:

m∠B = (2x)° = 2(30°) = 60°

So, the measure of ∠B is 60 degrees.