Based on Triangle Angle Sum Theorem, the sum of the angles inside a triangle must equal 180°.
Use the equation 2x + 4x + 6x = 180° to solve the measures of the angles in this triangle.
COURSE TOOLS
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(2 points)
O 30°, 30°, and 120°
O 15°, 60°, and 105°
O 30°, 60°, and 90°
O 15°, 75°, and 90°
Let the measures of the angles be 2x, 4x, and 6x.
So, the equation becomes:
2x + 4x + 6x = 180
12x = 180
x = 15
Therefore, the measures of the angles are:
2x = 2(15) = 30°
4x = 4(15) = 60°
6x = 6(15) = 90°
So, the correct answer is:
30°, 60°, and 90°.