Triangle Sum/Exterior Angle Theorem (P#1)

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

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

If a triangle has angles measuring 45° and 65°, what is the measure of the third angle?

Back

The third angle measures 70° (since 180° - 45° - 65° = 70°).

Front

Can a triangle have angles measuring 150°, 110°, and 100°? Why or why not?

Back

No, because the sum of the angles exceeds 180° (150° + 110° + 100° = 360°).

Front

What are the angle measures of an equilateral triangle?

Back

Each angle in an equilateral triangle measures 60°.

Front

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

Back

It is a right triangle.

Front

What is the relationship between the angles in a triangle and the exterior angle?

Back

The exterior angle is equal to the sum of the two opposite interior angles.

Front

If the angles of a triangle are 37°, 68°, and x°, what is the value of x?

Back

x = 75° (since 180° - 37° - 68° = 75°).

Front

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

Back

The exterior angle measures 80° (30° + 50° = 80°).

Front

How do you determine if a set of angles can form a triangle?

Back

The sum of the angles must equal 180°.