Question

Can a triangle be drawn with the following angle measures? Why or why not? 45°, 55°, 65°

Answer 1

The sum of the measures of the interior angles of a triangle is 180 degrees.
45 + 55 + 65 = 165
This does not equal 180 so the answer is no.

Answer 2

Every/Any triangle needs to sum up to 180 degrees. To figure out if our angles make a triangle, let's sum them up.
45 + 55 = 100.
100 + 65 = 165.
This does not equal 180, so no, it does not make a triangle.