Based on Triangle Angle Sum Theorem, the sum of the angles inside a triangle must equal 180°. %0D%0A%0D%0AUse the equation 2x + 4x + 6x = 180° to solve the measures of the angles in this triangle. %0D%0A%0D%0A%0D%0A%0D%0A(2 points)%0D%0AResponses%0D%0A%0D%0A30°, 30°, and 120°%0D%0A30°, 30°, and 120°%0D%0A%0D%0A15°, 60°, and 105°%0D%0A15°, 60°, and 105°%0D%0A%0D%0A30°, 60°, and 90°%0D%0A30°, 60°, and 90°%0D%0A%0D%0A15°, 75°, and 90°
The correct answer is: 30°, 60°, and 90°
Explanation:
2x + 4x + 6x = 180
12x = 180
x = 15
Now, plug in x back into the expressions to find the measures of the angles:
2x = 2(15) = 30°
4x = 4(15) = 60°
6x = 6(15) = 90°
Therefore, the angles in the triangle are 30°, 60°, and 90°.