Exploring Vertical Angle Pairs and Their Properties

What is the sum of complementary angles?

• 360 degrees

• 90 degrees

• 180 degrees

• 45 degrees

Which of the following is true about supplementary angles?

• They are always equal

• They add up to 180 degrees

• They add up to 90 degrees

• They are always adjacent

What do adjacent angles share?

• A common vertex

• A common ray

• A common side

• A common angle

In the given diagram, which pair of angles are adjacent?

• DEA and AEC

• DEA and CEB

• AEC and D EB

• CEB and AEC

What is the measure of angle AEC if angle DEA is 40 degrees?

• 50 degrees

• 180 degrees

• 140 degrees

• 90 degrees

What are vertical angles?

• Angles that add up to 90 degrees

• Angles that have the same vertex but point in opposite directions

• Angles that are adjacent

• Angles that share a common ray

If angle AED is 40 degrees, what is the measure of its vertical angle?

• 90 degrees

• 180 degrees

• 140 degrees

• 40 degrees

What is the value of n if angle MRP is 35 degrees and angle QRN is 2n - 11?

• 12

• 23

• 35

• 46

If angle AGC is 72 degrees and angle FGB is 90 degrees, what is the measure of angle FGD?

• 108 degrees

• 18 degrees

• 72 degrees

• 90 degrees

Which of the following statements is true about vertical angles?

• They share a common ray

• They add up to 180 degrees

• They always have equal measures

• They are always adjacent