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Two angles of a triangle are the same size. The third angle is 3 times as large
as the first. How large are the angles?

1 Answer

2 votes

Final answer:

The first two angles in the triangle are 36 degrees, while the third angle is 108 degrees.


Step-by-step explanation:

Let's denote the first angle as x. Since the two angles are the same size, the other angle will also be x. The third angle is 3 times as large as the first angle, so it will be 3x.

We know that the sum of the angles in a triangle is 180 degrees.

Therefore, x + x + 3x = 180.

Combining like terms, we can simplify the equation to 5x = 180.

Dividing both sides by 5, we find that x = 36.

Hence, the angles in the triangle are: x = 36 degrees, x = 36 degrees, and 3x = 3 * 36 = 108 degrees.


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