Practice Vertical Angles/ Triangle Angle Sum Theorem

Front

What are vertical angles?

Back

Vertical angles are the angles opposite each other when two lines intersect. They are always equal in measure.

Front

What is the Triangle Angle Sum Theorem?

Back

The Triangle Angle 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 is the sum of the other two angles?

Back

The sum of the other two angles is 90 degrees, since the total must equal 180 degrees.

Front

What is the measure of angle a if angle b is 60 degrees and angle c is 80 degrees?

Back

Angle a = 180 - (60 + 80) = 40 degrees.

Front

If two angles are supplementary, what is the relationship between their measures?

Back

Supplementary angles add up to 180 degrees.

Front

What is the measure of angle c if angle a is 40 degrees and angle b is 60 degrees in a triangle?

Back

Angle c = 180 - (40 + 60) = 80 degrees.

Front

If two angles are vertical angles, and one measures 110 degrees, what is the measure of the other angle?

Back

The other angle also measures 110 degrees.

Front

What is the measure of angle a if angle b is 137 degrees in a triangle?

Back

Angle a = 180 - 137 = 43 degrees.

Front

What is the measure of angle c if angle a is 97 degrees and angle b is 83 degrees?

Back

Angle c = 180 - (97 + 83) = 0 degrees (not possible in a triangle).

Front

If angle a is 43 degrees and angle b is 137 degrees, what is the measure of angle c?

Back

Angle c = 180 - (43 + 137) = 0 degrees (not possible in a triangle).