The Triangle Angle Sum Theorem states that the sum of the three interior angles of a triangle is always 180 degrees.
So, in this case:
120 degrees + 34 degrees + x = 180 degrees
154 degrees + x = 180 degrees
x = 26 degrees
Therefore, the measure of the third angle (angle C) is 26 degrees.
Use the image to answer the 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 described.
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11 answers
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°
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Given that the measures of two angles are 34.6° and 52.8°, let's denote the third angle as x.
According to the Triangle Angle Sum Theorem, the sum of the three interior angles of a triangle is always 180 degrees. Therefore, we can set up the equation:
34.6° + 52.8° + x = 180°
87.4° + x = 180°
x = 180° - 87.4°
x = 92.6°
Therefore, the measure of the third angle of the triangle is 92.6°.
According to the Triangle Angle Sum Theorem, the sum of the three interior angles of a triangle is always 180 degrees. Therefore, we can set up the equation:
34.6° + 52.8° + x = 180°
87.4° + x = 180°
x = 180° - 87.4°
x = 92.6°
Therefore, the measure of the third angle of the triangle is 92.6°.
Use the Triangle Angle Sum Theorem to find the measure of the third angle if the first and second angle measure 63° and 40°
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Given that the measures of the first and second angle are 63° and 40°, let's denote the measure of the third angle as x.
According to the Triangle Angle Sum Theorem, the sum of the three interior angles of a triangle is always 180 degrees. Therefore, we can set up the equation:
63° + 40° + x = 180°
103° + x = 180°
x = 180° - 103°
x = 77°
Therefore, the measure of the third angle of the triangle is 77°.
According to the Triangle Angle Sum Theorem, the sum of the three interior angles of a triangle is always 180 degrees. Therefore, we can set up the equation:
63° + 40° + x = 180°
103° + x = 180°
x = 180° - 103°
x = 77°
Therefore, the measure of the third angle of the triangle is 77°.
A triangle has two angles measuring 40° and 65° . Use the Triangle Angle Sum Theorem to find the measure of the third angle.
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Given that the measures of two angles are 40° and 65°, let the measure of the third angle be x.
By the Triangle Angle Sum Theorem, the sum of the three interior angles of a triangle is always 180 degrees. Thus, we have:
40° + 65° + x = 180°
105° + x = 180°
x = 180° - 105°
x = 75°
Therefore, the measure of the third angle of the triangle is 75°.
By the Triangle Angle Sum Theorem, the sum of the three interior angles of a triangle is always 180 degrees. Thus, we have:
40° + 65° + x = 180°
105° + x = 180°
x = 180° - 105°
x = 75°
Therefore, the measure of the third angle of the triangle is 75°.
A triangle has angle measures of 75°, 41°, and (3x+19)°. Solve for x.
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To find the value of x, we can use the Triangle Angle Sum Theorem, which states that the sum of the interior angles of a triangle is always 180 degrees. In this case, we have the three angles given:
75° + 41° + (3x + 19)° = 180°
116° + 3x + 19 = 180
3x + 135 = 180
3x = 45
x = 15
Therefore, x = 15.
75° + 41° + (3x + 19)° = 180°
116° + 3x + 19 = 180
3x + 135 = 180
3x = 45
x = 15
Therefore, x = 15.
Use the Triangle Angle Sum Theorem to find the third angle of a triangle if the other two angles measure 25° and 68° .
88°
87°
86°
77°
88°
87°
86°
77°
To find the measure of the third angle of the triangle, we can use the Triangle Angle Sum Theorem, which states that the sum of the interior angles of a triangle is 180 degrees.
Given that the other two angles measure 25° and 68°, we can find the measure of the third angle as follows:
Let x be the measure of the third angle.
So, 25° + 68° + x = 180°
93° + x = 180°
x = 180° - 93°
x = 87°
Therefore, the measure of the third angle of the triangle is 87°.
The correct answer is:
87°
Given that the other two angles measure 25° and 68°, we can find the measure of the third angle as follows:
Let x be the measure of the third angle.
So, 25° + 68° + x = 180°
93° + x = 180°
x = 180° - 93°
x = 87°
Therefore, the measure of the third angle of the triangle is 87°.
The correct answer is:
87°