Question

How many triangles can be constructed with angles measuring 50º, 90º, and 40º?

Answer 1

Answer: Infinite

Step-by-step explanation:

We know that in a triangle the sum of all the interior angles must be 180°.

The given angles 50º, 90º and 40º

The sum of the angles 50º+ 90º + 40º= 180°

Thus, a triangle is possible with the given measurement.,

Let there is another triangle with the given angles, then by AAA similarity criteria they are similar.

Similarly, all the triangles with the same measurements of the angles must be similar.

Therefore, there are infinite number of triangles can be possible with angles measuring 50º, 90º, and 40º.

Answer 2

If the angles of the triangle are 50, 90, 40 degrees, then only one triangle can be constructed, because if you change the sides the angles would change. <span />