Warm Up Either log on to insight360.einstruction.com or

come and ask me for a clicker to answer the following question.

Only state yes or no using insight360. Write down your explanation or counterexample in your notes

Angle Relationships

Lesson 5

Outcomes I will be able to identify vertical angles and linear

pairs. I will be able to find missing measurements using

the fact that vertical angles are equal and linear pairs = 180

I will be able to find missing measures using the ideas of complementary and supplementary

Complementary Angles Complementary angles: Complementary

angles are two angles whose measures have the sum of 90 degrees.

Complementary angles are not angles that have nice things to say about each other.55°

35°

Complementary Angles Which set of angles are complementary?

60°30°

30° 30°30°

40° 50°You’reacuteangle! Thank you for the

compliment.

A.)

C.)

B.)

D.)

Supplementary Angles Supplementary angles Supplementary angles

are two angles whose measures have the sum of 180 degrees.

45° 135°

Vertical Angles Vertical angles: Vertical angles consist of two

angles whose sides form two pairs of opposite rays.

I think of these as the opposite angles in the picture.

1

2

Vertical angles theorem

Vertical Angles are always congruent!

What would the value of x be?

115°x°

Vertical angles theorem

Vertical Angles are always congruent!

What would the value of x be?

(3x + 50)°(8x + 35)°

Linear Pairs What does the name Linear Pair suggest? Linear pair: A linear pair consists of two adjacent

angles whose noncommon sides are opposite rays.

Translation: form a straight line or angle! So a linear pair is two adjacent angles that are

supplementary!

Linear Pairs What would the value of x be?

115° x°

Linear Pairs What would the value of x be?

(3x+3)°(2x-8)°

Put it all together Name the relationship of the angle measures.

A. Complementary

B. Congruent

C. Supplementary

D. None of the above

Put it all together Name the relationship of the angle measures.

A. Complementary

B. Congruent

C. Supplementary

D. None of the above

Put it all together Name the relationship of the angle measures.

A. Complementary

B. Congruent

C. Supplementary

D. None of the above

Put it all together Name the relationship of the angle measures.

A. Complementary

B. Congruent

C. Supplementary

D. None of the above

Put it all together Name the relationship of the angles.

A. Adjacent Angles

B. Complementary

C. Linear Pair

D. Vertical Angles

Put it all together Name the relationship of the angles.

A. Adjacent Angles

B. Complementary

C. Linear Pair

D. Vertical Angles

Put it all together Name the relationship of the angles.

A. Adjacent Angles

B. Complementary

C. Linear Pair

D. Vertical Angles

Put it all together Name the relationship of the angles.

A. Adjacent Angles

B. Complementary

C. Linear Pair

D. Vertical Angles

Put it all together Find the value of x.

Put it all together Find the value of y.

y

Exit Ticket Homework

Find the value of x.

Pg. 47: 8-36, 41-52, 66-72