Pairs of Angles

ANGLE PAIRS

Multiple Choice

Which of the following is two angles or pair of angles the sum of the measures of which is 90 degrees?

• Complementary Angles

• Supplementary Angles

• Adjacent Angles

Multiple Choice

Which of the following is the supplement of 101° ?

• 69°

• 79°

• 89°

Multiple Choice

What is the measure of angle b?

• 37

• 43

• 90

• 180

Multiple Choice

What pair of angles are a and b?

• complementary

• supplementary

• linear pair

• vertical

Multiple Choice

a and b are what type of angle pair?

• complementary

• supplementary

• adjacent

• vertical

Multiple Choice

What is the measure of the unknown angle?

• 130

• 120

• 110

• 100

Multiple Choice

• complementary

• supplementary

• adjacent

• vertical

Multiple Choice

Which angle is a linear pair with $$\angle5$$  ?

• $$\angle2$$  

• $$\angle3$$  

• $$\angle4$$  

• $$\angle9$$  

• $$\angle6$$  

Multiple Choice

Which are pairs of adjacent angles?

• ∠COB and ∠DOA

• ∠AOD and ∠AOC

• ∠COB and ∠AOD

• ∠BOD and ∠AOC

Multiple Choice

What angle is vertical to angle 2?

• ∠4

• ∠1

• ∠2

• ∠5

Multiple Choice

This is what kind of angle?

• obtuse
• right
• straight
• acute

Multiple Choice

• x = 118

• x = 108

• x = 28

• x = 58

• x = 62

Multiple Choice

Which angle is a vertical angle to with $$\angle7$$  ?

• $$\angle1$$  

• $$\angle5$$  

• $$\angle3$$  

• $$\angle6$$  

• $$\angle9$$  

Multiple Choice

Which angle is a linear pair with $$\angle1$$  ?

• $$\angle2$$  

• $$\angle3$$  

• $$\angle4$$  

• $$\angle5$$  

• $$\angle6$$  

Multiple Choice

What is the measurement of angle CSD?

• 35

• 55

• 90

• 125

Angles formed by parallel lines cut by a transveral

When two parallel lines are cut by a third line, the third line is called TRANSVERSAL.

How many angles are formed when two parallel lines are cut by a transversal line?

Alternate Interior Angles

- these are the angles that are formed on opposite sides of the transversal and inside the two lines

- the theorem says that when the lines are parallel, that the alternate interior angles are equal

Alternate Interior Angles

- these are the angles that are formed on opposite sides of the transversal and inside the two lines

- the theorem says that when the lines are parallel, that the alternate interior angles are equal

Alternate Exterior Angles

- are pairs of opposing angles that are formed when a transversal intersects two lines.



- the theorem says that the pairs of exterior angles formed by a transversal line are congruent.

Alternate Exterior and Interior Angles

Alternate Exterior and Interior Angles

Corresponding Angles

when two parallel lines are intersected by a third one (transversal), the angles that occupy the same relative position at each intersection are known to be corresponding angles to each other.

Corresponding Angles

Corresponding Angles

Consecutive Interior Angles

Two angles on one side of the transversal but inside the parallel lines. Their sum is 180°

∠A + ∠B = 180°
∠C + ∠D = 180°

Find the measurement of the angles

If ∠2 = 53°, then

1. ∠4 = ______
2. ∠7 = ______
3. ∠6 = ______
4. ∠3 = ______
5. ∠5 = ______