Based on Triangle Angle Sum Theorem, the sum of the angles inside a triangle must equal 180°.

Question

Use the equation 2x + 4x + 6x = 180° to solve the measures of the angles in this triangle.

(2 points)
Responses

30°, 30°, and 120°
30°, 30°, and 120°

15°, 60°, and 105°
15°, 60°, and 105°

30°, 60°, and 90°
30°, 60°, and 90°

15°, 75°, and 90°

Answer 1

30°, 60°, and 90°

Explanation:

2x + 4x + 6x = 180
12x = 180
x = 15

So, the angles are:
2(15) = 30°
4(15) = 60°
6(15) = 90°

Which means the angles inside the triangle are 30°, 60°, and 90°.