Question

In a triangle, the measure of the second angle is twice the measure of the first angle. The third angle is equal to the sum of the other angles. Which of the following could represent the measures of the three angles? x, 2x, 4x x, 2x, 3x x, 2x, 2x

Answer 1

x - the first angle
2x -the second angle (twice the first)
3x - the 3rd (sum of the other two - x+2x=3x

This is the only one that works.

Answer 2

Option B) x,2x,3x

Explanation:

Given that in a triangle, the measure of the second angle is twice the measure of the first angle. The third angle is equal to the sum of the other angles.

Let the first angle be x. Then second angle = 2x

Third angle = x+2x =3x

Thus we have the measures of angles in the triangle as x,2x and 3x

So suitable option is

Option B) x,2x,3x