Question

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?

Answer 1

`36^@, 36^@, and 108^@`

Explanation:

Let the two equal angles be `x`.
Hence the third angle is `3x`.

But the sum of the interior angles of a triangle always adds up to `180^@`.
Thus `x+x+3x=180^@`

`therefore x = 180/5=36^@`.

Thus the angles are `36^@, 36^@, and 108^@`.