Based on the Triangle Angle Sum Theorem, the sum of the angles inside a triangle must equal 180. Which set of angles could form a triangle?

45, 65, and 75
45, 65, and 75

40, 55, and 95
40, 55, and 95

30, 75, and 85
30, 75, and 85

25, 65, and 90
25,65, and 90

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11 answers

The set of angles that could form a triangle is 30, 75, and 85.

30 + 75 + 85 = 180
The angles of a triangle measure 30, 70, and x. The Triangle Angle Sum Theorem states that the sum of the angles inside a triangle must equal 180. Based on this theorem, what is the measure of angle x? (1 point)

100
100

80
80

280
280

110
110
To find the measure of angle x, we can use the Triangle Angle Sum Theorem which states that the sum of the angles in a triangle is 180 degrees.

Given angles: 30, 70, x

We can set up the equation:
30 + 70 + x = 180

Solving for x:
30 + 70 + x = 180
x = 180 - 30 - 70
x = 80

Therefore, the measure of angle x is 80 degrees.

So, the answer is 80.
The Triangle Angle Sum Theorem states that the sum of the angles inside a triangle must equal 180. Using this theorem, find the measure of angle B. Angle A is 100 and Angle C is 55 what is angle B?

25
25

335
335

80
80

45
45
To find the measure of angle B, we can use the Triangle Angle Sum Theorem which states that the sum of the angles inside a triangle must equal 180 degrees.

Given: Angle A = 100, Angle C = 55

We can set up the equation:
Angle A + Angle B + Angle C = 180 degrees
100 + Angle B + 55 = 180

Solving for angle B:
100 + Angle B +55 = 180
Angle B = 180 - 100 - 55
Angle B = 25

Therefore, the measure of angle B is 25 degrees.

So, the answer is 25.
The Triangle Angle Sum Theorem states that the sum of the angles inside a triangle must equal 180.
The angle of A is 25 and angle B is 90 what is angle C?

155
155

205
205

65
65

55
55
If angle A is 25 degrees and angle B is 90 degrees, we can use the Triangle Angle Sum Theorem to find angle C.

Since the sum of the angles in a triangle is 180 degrees, we can set up the equation:
Angle A + Angle B + Angle C = 180

Replacing the given angle measures:
25 + 90 + Angle C = 180

Solving for angle C:
25 + 90 + Angle C = 180
115 + Angle C = 180
Subtracting 115 from both sides:
Angle C = 180 - 115
Angle C = 65

Therefore, the measure of angle C is 65 degrees.

So, the answer is 65.
Based on the Triangle Angle Sum Theorem, the sum of the angles inside a triangle must equal 180. Use the equation 2x + 4x + 6x = 180 to solve the measures of the angles in this triangle. Angle A is 6x and angle B is 4x and angle C is 2x. What are the measures of them all.

30, 30, and 120
30, 30, and 120

15, 60, and 105
15, 60, and 105

30, 60, and 90
30, 60, and 90

15, 75, and 90
15, 75, and 90
To find the measures of angles A, B, and C in the triangle, we are given the following information:

Angle A = 6x
Angle B = 4x
Angle C = 2x

We can use the Triangle Angle Sum Theorem which states that the sum of the angles inside a triangle must equal 180 degrees. So, we have:
6x + 4x + 2x = 180
12x = 180
Solving for x:
x = 180 / 12
x = 15

Now, we can find the measures of each angle:
Angle A = 6x = 6 * 15 = 90 degrees
Angle B = 4x = 4 * 15 = 60 degrees
Angle C = 2x = 2 * 15 = 30 degrees

Therefore, the measures of angles A, B, and C in the triangle are 90, 60, and 30 degrees respectively.

So, the answer is 90, 60, and 30.
Wait angle B is 2x and angle C is 4x change the answer Plz
Apologies for the error in the previous response. Let's correct that:

Given:
Angle A = 6x
Angle B = 2x
Angle C = 4x

Using the Triangle Angle Sum Theorem which states that the sum of the angles in a triangle is 180 degrees:
6x + 2x + 4x = 180
12x = 180
x = 180 / 12
x = 15

Now, finding the measure of each angle:
Angle A = 6x = 6 * 15 = 90 degrees
Angle B = 2x = 2 * 15 = 30 degrees
Angle C = 4x = 4 * 15 = 60 degrees

Therefore, the measures of angles A, B, and C in the triangle are 90, 30, and 60 degrees respectively.

So, the correct answer is 90, 30, and 60.