Use the image to answer the question.

Question

An illustration shows a triangle with vertices as A B C. Angle A on top is 120 degrees and angle B on the left is 34 degrees. Vertex C is on the right.

Use the Triangle Angle Sum Theorem to find the measure of the third angle of the triangle shown.

(1 point)

Answer 1

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

We are given that angle A has a measure of 120 degrees and angle B has a measure of 34 degrees.

To find the measure of the third angle, we can subtract the sum of angles A and B from 180 degrees:

180 degrees - 120 degrees - 34 degrees = 26 degrees

Therefore, the measure of the third angle of the triangle is 26 degrees.

Answer 2

Use the Triangle Angle Sum Theorem to find the measure of the third angle of the triangle if the measure of two angles are 34.6° and 52.8

Answer 3

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

We are given that one angle measures 34.6 degrees and another angle measures 52.8 degrees.

To find the measure of the third angle, we can subtract the sum of the given angles from 180 degrees:

180 degrees - 34.6 degrees - 52.8 degrees = 92.6 degrees

Therefore, the measure of the third angle of the triangle is 92.6 degrees.

Answer 4

Use the Triangle Angle Sum Theorem to find the measure of the third angle if the first and second angle measure 63°
and 40°
.

Answer 5

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

We are given that one angle measures 63 degrees and another angle measures 40 degrees.

To find the measure of the third angle, we can subtract the sum of the given angles from 180 degrees:

180 degrees - 63 degrees - 40 degrees = 77 degrees.

Therefore, the measure of the third angle of the triangle is 77 degrees.

Answer 6

A triangle has two angles measuring 40° and 65° . Use the Triangle Angle Sum Theorem to find the measure of the third angle.(1 point)
°

Answer 7

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

We are given that one angle measures 40 degrees and another angle measures 65 degrees.

To find the measure of the third angle, we can subtract the sum of the given angles from 180 degrees:

180 degrees - 40 degrees - 65 degrees = 75 degrees.

Therefore, the measure of the third angle of the triangle is 75 degrees.

Answer 8

A triangle has angle measures of 75°, 41°, and (3x+19)°. Solve for x.

Answer 9

We know that the sum of the angle measures in a triangle is always 180 degrees.

So, we can set up the equation:

75° + 41° + (3x + 19)° = 180°

Combining like terms:

116° + 3x + 19° = 180°

Simplifying:

3x + 135° = 180°

Subtracting 135° from both sides:

3x = 45°

Dividing both sides by 3:

x = 15°

Therefore, x is equal to 15 degrees.

Answer 10

Use the Triangle Angle Sum Theorem to find the third angle of a triangle if the other two angles measure 25° and 68° . (1 point)
Responses

77°
77 degrees

88°
88 degrees

86°
86 degrees

87°

Answer 11

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

Given that one angle measures 25 degrees and another angle measures 68 degrees, we can subtract the sum of these angles from 180 degrees to find the measure of the third angle:

180 degrees - 25 degrees - 68 degrees = 87 degrees.

Therefore, the measure of the third angle of the triangle is 87 degrees.