Triangle sum and Exterior Angle Theorem

Front

What is the Triangle Sum Theorem?

Back

The Triangle Sum Theorem states that the sum of the interior angles of a triangle is always 180 degrees.

Front

If one angle of a triangle is 90 degrees, what type of triangle is it?

Back

It is a right triangle.

Front

What is the Exterior Angle Theorem?

Back

The Exterior Angle Theorem states that the measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles.

Front

How do you find the measure of an unknown angle in a triangle?

Back

Subtract the sum of the known angles from 180 degrees.

Front

What is the relationship between the angles in a triangle?

Back

The angles in a triangle are related such that their sum is always 180 degrees.

Front

Can a triangle have two obtuse angles?

Back

No, a triangle cannot have two obtuse angles because the sum of the angles would exceed 180 degrees.

Front

What are the three types of triangles based on angles?

Back

The three types of triangles based on angles are acute (all angles < 90°), right (one angle = 90°), and obtuse (one angle > 90°).

Front

If two angles of a triangle are 45 degrees each, what is the third angle?

Back

The third angle is 90 degrees.

Front

What is the sum of the angles in a triangle with angles measuring 60 degrees, 70 degrees, and x degrees?

Back

x = 50 degrees, since 60 + 70 + x = 180.

Front

What is the measure of an exterior angle if the two non-adjacent interior angles are 30 degrees and 50 degrees?

Back

The exterior angle measures 80 degrees (30 + 50).