se 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.
(1 point)
To find the measure of the third angle, we first need to find the measure of angles A and B.
Angle A is given as 120 degrees and angle B is given as 34 degrees.
To find the third angle, we can use the Triangle Angle Sum Theorem, which states that the sum of the interior angles of a triangle is always 180 degrees.
Therefore, the measure of the third angle can be calculated as:
Third angle = 180 - (angle A + angle B)
Third angle = 180 - (120 + 34)
Third angle = 180 - 154
Third angle = 26 degrees
So, the measure of the third angle in 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° .(1 point)
To find the measure of the third angle, we first need to find the measures of the other two angles which are given as 34.6° and 52.8°.
To find the third angle, we can use the Triangle Angle Sum Theorem, which states that the sum of the interior angles of a triangle is always 180 degrees.
Therefore, the measure of the third angle can be calculated as:
Third angle = 180 - (angle 1 + angle 2)
Third angle = 180 - (34.6 + 52.8)
Third angle = 180 - 87.4
Third angle = 92.6 degrees
So, the measure of the third angle in the triangle is 92.6 degrees.
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, we first need to find the measures of the other two angles which are given as 63° and 40°.
To find the third angle, we can use the Triangle Angle Sum Theorem, which states that the sum of the interior angles of a triangle is always 180 degrees.
Therefore, the measure of the third angle can be calculated as:
Third angle = 180 - (angle 1 + angle 2)
Third angle = 180 - (63 + 40)
Third angle = 180 - 103
Third angle = 77 degrees
So, the measure of the third angle in the triangle is 77 degrees.
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, we first need to find the measures of the other two angles which are given as 40° and 65°.
To find the third angle, we can use the Triangle Angle Sum Theorem, which states that the sum of the interior angles of a triangle is always 180 degrees.
Therefore, the measure of the third angle can be calculated as:
Third angle = 180 - (angle 1 + angle 2)
Third angle = 180 - (40 + 65)
Third angle = 180 - 105
Third angle = 75 degrees
So, the measure of the third angle in the triangle is 75 degrees.
A triangle has angle measures of 75°, 41°, and (3x+19)°. Solve for x.
To find the value of x, we will use the Triangle Angle Sum Theorem, which states that the sum of the interior angles of a triangle is always 180 degrees.
Given that the angles are 75°, 41°, and (3x + 19)°:
Now, we'll set up an equation based on the Triangle Angle Sum Theorem:
75 + 41 + (3x + 19) = 180
Combine like terms:
75 + 41 + 3x + 19 = 180
135 + 3x + 19 = 180
154 + 3x = 180
Now, solve for x by subtracting 154 from both sides:
3x = 26
Finally, divide both sides by 3 to solve for x:
x = 26 / 3
x = 8.67
So, the value of x is approximately 8.67.