Use the Triangle Angle Sum Theorum to find the measure of an angle A for the triangle in the diagram.

A 4x-6
B. 3x-2
C. 3x-2

A. 19°
B. 180°
C. 70°
D.

1 answer

Since A, B, and C are angles in a triangle, the sum of the three angles must add up to 180 degrees.

Therefore, 4x-6 + 3x-2 + 3x-2 = 180
10x - 10 = 180
10x = 190
x = 19

To find the measure of angle A:
A = 4x - 6 = 4(19) - 6 = 76 - 6 = 70°

The measure of angle A is 70°. So, the answer is C. 70°.