Exploring Angle Addition and Bisectors

What does the Angle Addition Postulate allow you to do?

• Add angles together

• Multiply angles together

• Divide angles by each other

• Subtract angles from each other

If Ray BD lies in the interior of angle ABC, what can be said about the angles ABD and DBC?

• They are supplementary

• They are complementary

• Their sum is equal to angle ABC

• They are equal to each other

Given angle 1 measures 25° and angle 2 measures 32°, what is the measure of the full angle?

• 57°

• 63°

• 32°

• 25°

If the full angle measures 63° and one part measures 30°, what is the measure of the other part?

• 30°

• 25°

• 63°

• 33°

In the second example, if angle J measures 85° and angle LK measures 37°, what is the measure of angle JK?

• 85°

• 32°

• 37°

• 48°

If angle JOK is 50°, angle MOL is 50°, and angle LK is 32°, what is the measure of angle JM?

• 50°

• 100°

• 132°

• 82°

Given angle JK is 3x + 1, angle JM is 110, and angle LK is x + 10, what is the value of x?

• 7

• 3

• 10

• 14

What does an angle bisector do?

• Divides an angle into two unequal parts

• Divides an angle into two equal parts

• Multiplies an angle by two

• Subtracts one angle from another

If Ray IQ is an angle bisector of angle NIP, and angle NIQ is 42°, what is the measure of angle NIP?

• 21°

• 63°

• 42°

• 84°

If angle PIQ is x + 26 and angle NIQ is 3x, what is the measure of angle NIP when x is found to be 13?

• 78°

• 52°

• 39°

• 26°