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 shown. RIGHT ANSWERS ONLY!!!!!
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 measures of the angles in any triangle is always 180 degrees.
Given that angle A is 120 degrees and angle B is 34 degrees, we can calculate the measure of the third angle as follows:
Third angle = 180 degrees - (angle A + angle B)
Third angle = 180 degrees - (120 degrees + 34 degrees)
Third angle = 180 degrees - 154 degrees
Third angle = 26 degrees
Therefore, the measure of the third angle of the triangle is 26 degrees.
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° .
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 measures of the angles in any triangle is always 180 degrees.
Given that the measure of one angle is 34.6° and the measure of another angle is 52.8°, we can calculate the measure of the third angle as follows:
Third angle = 180 degrees - (angle 1 + angle 2)
Third angle = 180 degrees - (34.6° + 52.8°)
Third angle = 180 degrees - 87.4°
Third angle = 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° .(1 point)
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 measures of the angles in any triangle is always 180 degrees.
Given that the measure of the first angle is 63° and the measure of the second angle is 40°, we can calculate the measure of the third angle as follows:
Third angle = 180 degrees - (angle 1 + angle 2)
Third angle = 180 degrees - (63° + 40°)
Third angle = 180 degrees - 103°
Third angle = 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.(1 point)
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 measures of the angles in any triangle is always 180 degrees.
Given that the measure of one angle is 40° and the measure of another angle is 65°, we can calculate the measure of the third angle as follows:
Third angle = 180 degrees - (angle 1 + angle 2)
Third angle = 180 degrees - (40° + 65°)
Third angle = 180 degrees - 105°
Third angle = 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.
To find the value of x, we can use the Triangle Angle Sum Theorem, which states that the sum of the measures of the angles in any triangle is always 180 degrees.
Given that the angle measures are 75°, 41°, and (3x+19)°, we can set up an equation:
75° + 41° + (3x + 19)° = 180°
Combining like terms, we have:
116° + 3x + 19° = 180°
Simplifying further, we get:
3x + 135° = 180°
Next, we can subtract 135° from both sides of the equation:
3x = 180° - 135°
3x = 45°
Finally, we divide both sides of the equation by 3 to solve for x:
x = 45° / 3
x = 15°
Therefore, the value of x is 15°.