Vertical, Complementary, Supplementary, and Adjacent Angles

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 are complementary angles?

Back

Complementary angles are two angles whose measures add up to 90 degrees.

Front

What are supplementary angles?

Back

Supplementary angles are two angles whose measures add up to 180 degrees.

Front

What are adjacent angles?

Back

Adjacent angles are two angles that share a common side and a common vertex but do not overlap.

Front

If m∠A = 45°, what is m∠B if ∠A and ∠B are complementary?

Back

m∠B = 45° (90° - 45° = 45°) because complementary angles add up to 90°.

Front

If m∠C = 120°, what is m∠D if ∠C and ∠D are supplementary?

Back

m∠D = 60° (180° - 120° = 60°) because supplementary angles add up to 180°.

Front

Identify the angle pair: ∠1 and ∠2 are formed by two intersecting lines. What type of angles are they?

Back

They are vertical angles.

Front

If two angles are adjacent and their measures are 70° and 110°, what can you say about them?

Back

They are supplementary angles because 70° + 110° = 180°.

Front

What is the relationship between alternate interior angles when two parallel lines are cut by a transversal?

Back

Alternate interior angles are equal.

Front

If m∠1 = 30°, what is m∠3 if ∠1 and ∠3 are vertical angles?

Back

m∠3 = 30° because vertical angles are equal.