In a certain triangle the two smallest angles have the same measure The measure of the largest angle is twice the measure of the smaller angels what is the measure of the largest angle?

Answer 1

90o.

Let A be the size of the smallest angle.

Then the three angles are A, A & 2A.

The sum of the angles in a triangle is 180o, thus:

A + A + 2A = 180o

4A = 180o

A = 45o

So the largest angle is 2A = 2 x 45o = 90o.