use the triangle angle sum theorem to find the measure of the third angle of the triangle shown.
Angle B: 34
Angle A: 120
To find the measure of the third angle, we can use the triangle angle sum theorem, which states that the sum of the three angles in a triangle is always 180 degrees.
Angle C = 180 - Angle A - Angle B
Angle C = 180 - 120 - 34
Angle C = 180 - 154
Angle C = 26
Therefore, the measure of the third angle (Angle C) is 26 degrees.
use the triangle sum theorem to find the measure of the third angle of the triangle if the measure of two angles are 34.6 degrees and 52.8.
To find the measure of the third angle, we can use the triangle angle sum theorem, which states that the sum of the three angles in a triangle is always 180 degrees.
Let the measure of the third angle be x.
Using the triangle sum theorem:
Angle A + Angle B + Angle C = 180
34.6 + 52.8 + x = 180
87.4 + x = 180
x = 180 - 87.4
x = 92.6
Therefore, the measure of the third angle (Angle C) is 92.6 degrees.
use the triangle angle sum theorem to find the measure of the third angle if the first and second angle measures 633 degrees and 40 degrees.
The sum of the three angles of a triangle is always 180 degrees. If the first angle measures 63 degrees and the second angle measures 40 degrees, we can find the measure of the third angle by subtracting the sum of the first two angles from 180 degrees.
Let the measure of the third angle be denoted by x.
Using the triangle angle sum theorem:
Angle A + Angle B + Angle C = 180
63 + 40 + x = 180
103 + x = 180
x = 180 - 103
x = 77
Therefore, the measure of the third angle (Angle C) is 77 degrees.
a triangle has two angles measuring 40 degrees and 65 degrees. use the triangle angle sum theorem to find the measure of the third angle.
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 three angles in a triangle is always 180 degrees.
Let the measure of the third angle be denoted by x.
Using the triangle angle sum theorem:
Angle A + Angle B + Angle C = 180
40 + 65 + x = 180
105 + x = 180
x = 180 - 105
x = 75
Therefore, the measure of the third angle (Angle C) is 75 degrees.
a Triangle has angle measures of 75 degrees, and 41 degrees, and (3x+19) degrees. solve for x.
To find the value of x, we can use the Triangle Angle Sum Theorem, which states that the sum of the three angles in a triangle is always 180 degrees.
Given:
Angle A = 75 degrees
Angle B = 41 degrees
Angle C = 3x + 19 degrees
Now, we can set up an equation to solve for x:
Angle A + Angle B + Angle C = 180
75 + 41 + 3x + 19 = 180
135 + 3x + 19 = 180
154 + 3x = 180
3x = 180 - 154
3x = 26
x = 26 / 3
x = 8.67
Therefore, the value of x is 8.67.