Decide if you want to make an acute, obtuse, or right triangle. Select three angle

Question

measures. How is the Triangle Angle Sum Theorem important for creating triangles?
How many triangles can you make with three angle measures? Using your ruler and
protractor, draw one or more (if possible) examples.

Answer 1

I have decided to create an acute triangle with angle measures of 40 degrees, 50 degrees, and 90 degrees.

The Triangle Angle Sum Theorem states that the sum of the interior angles of a triangle is always 180 degrees. This theorem is important for creating triangles because it helps us determine whether a set of angle measures can form a valid triangle or not.

For the given angle measures, we can only make one triangle because the sum of the angles (40 + 50 + 90) equals 180 degrees, satisfying the Triangle Angle Sum Theorem.

I will now use my ruler and protractor to draw an acute triangle with angle measures of 40, 50, and 90 degrees.