A triangle has 3 points
A = (8x + 5)
B = (5x - 1)
C = (4x + 6)
Use the triangle angle sum theorem to find the measures of each angle for the triangle shown in the diagram.
A. 50, 54, and 93
B. 46, 50, and 85
C. 46, 49, and 85
D. 42, 44, and 79
To find the measures of the angles in the triangle, we can use the triangle angle sum theorem, which states that the sum of the measures of the angles in a triangle is always 180 degrees.
Let's calculate the measures of the angles:
Angle A = 8x + 5
Angle B = 5x - 1
Angle C = 4x + 6
To find the value of x, we can use the fact that the sum of the angle measures is 180 degrees:
(8x + 5) + (5x - 1) + (4x + 6) = 180
17x + 10 = 180
17x = 170
x = 10
Now, we substitute the value of x into the angle measures to find their values:
Angle A = 8(10) + 5 = 85
Angle B = 5(10) - 1 = 49
Angle C = 4(10) + 6 = 46
Therefore, the measures of the angles are 85, 49, and 46.
The correct answer is C. 46, 49, and 85.