Question

If two angles of one triangle are equal to two angles of another triangle, then the triangles are similar. true or false

Answer 1

If the two angles of the triangle are equal. Well yes, because if the angles are both 50 degrees then the other angle will be 30. but it also depends on the shape of the triangle if they differ.

Answer 2

True.

The sum of angles in a triangle is equal to 180 degrees. If two of the angles are equal to two of another, then it means the third angles are also equal.

The third angle for each triangle must be = 180 - (Sum of the two)

So all the three angles of one triangle is equal to the three of the second.

Therefore the two triangles are similar.

But they might not have exactly the same size, one might be bigger in shape than the other, but they must look alike, because the three angles of each are the same to the other.