Understanding Linear Pairs and Angles

What is a linear pair?

• Two angles that add up to 90 degrees

• Two adjacent angles that add up to 180 degrees

• Two angles that are equal

• Two angles that add up to 360 degrees

If angle A is 30 degrees and forms a linear pair with angle B, what is the measure of angle B?

• 180 degrees

• 60 degrees

• 150 degrees

• 90 degrees

In a linear pair, if one angle is 127 degrees, what is the measure of the other angle?

• 53 degrees

• 180 degrees

• 90 degrees

• 127 degrees

What is the value of x if the equation for a linear pair is 11x - 15 + 5x - 13 = 180?

• 10

• 13

• 12

• 15

How do you solve for x in the equation 11x - 15 + 5x - 13 = 180?

• Add 180 to both sides

• Multiply both sides by 2

• Combine like terms and solve for x

• Subtract 180 from both sides

What is the concept of vertical angles?

• Angles that are supplementary

• Angles that add up to 90 degrees

• Angles that are opposite each other and equal

• Angles that are adjacent and add up to 180 degrees

If two lines intersect, what can be said about the opposite angles?

• They add up to 180 degrees

• They are equal

• They are complementary

• They are supplementary

In an intersection of two lines, if one angle is 107 degrees, what is the measure of its vertical angle?

• 73 degrees

• 90 degrees

• 107 degrees

• 180 degrees

What is the relationship between x and z if they are vertical angles and x is 73 degrees?

• x is equal to z

• x and z add up to 180 degrees

• x is less than z

• x is greater than z

How can you identify a linear pair in an intersection of two lines?

• By finding two angles that add up to 360 degrees

• By covering everything except a straight line and identifying two angles on one side

• By finding two angles that are equal

• By finding two angles that add up to 90 degrees