Question

one angle of a triangle is three times as large as another. the entire angle is twice the sum of the first two angles. what is the measure of the largest angle?

Answer 1

Answer:

The third angle is 2 * (3x + x), or two times the sum of the first two angles. There is 180 degrees in all three angles in a triangle. The first angle is 15 degrees, the second angle is 3 * 15, or 45 degrees.

Answer 2

*Question:-

one angle of a triangle is three times as large as another. the entire angle is twice the sum of the first two angles. what is the measure of the largest angle?

*Solution:-

Let x represent one angle. The the second angle is 3x or three times the size of the first angle. The third angle is

2 × (3x + x), or two times the sum of the first two angles.

There is 180 degrees in all three angles in a triangle.

Equation:-

• x + 3x + 2 × (3x + x) = 180

• 12x = 180

• x = 15

The first angle is 15 degrees, the second angle is 3 × 15, or 45 degrees. The largest angle is

2 × (15 + 45), or 120 degrees.

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