Warm Up Your folder How many angles are in this picture?

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Presentation transcript:

Warm Up Your folder How many angles are in this picture? How would I name each one? B Your folder C A D E

Bellringer Complete Tuesday’s warm up!

Check Homework

Homework

Remember: 4 Types of angles Acute: between 0 and 90 degrees Right: exactly 90 degrees Obtuse: between 90 and 180 degrees Straight: exactly 180 degrees By the way, an angle over 180 degrees is called a “reflex” angle

Adjacent Angles 1 2 3 4 Angles that are next to each other (share a side) are called adjacent angles. 1 and 2, 3 and 4, 1 and 3, and 2 and 4

Linear Pair 1 2 Angles that form a linear pair are two adjacent angles that together form a line If I add together the measure of angle one and the measure of angle two what should I get? 180 degrees

Check In If one angle of a linear pair is acute, then the other angle must be obtuse. Explain why.

Complementary Angles

(They don’t have to be adjacent!!!) Complementary Angles are two angles whose measures add up to 90o. Supplementary Angles are two angles whose measures add up to 180o. (They don’t have to be adjacent!!!)

Check In What is the difference between supplementary angles and a linear pair of angles?

What is the complement of a 50o angle? What is the supplement of a 50o angle? What is the complement of a 27o angle? What is the supplement of a 102o angle? What is the supplement of a 155.5o angle? What is the complement of a 45o angle? What is the complement of a 95o angle?

Find the missing angle measures: 54o xo 62o yo

Vertical Angles Activity! Work with a partner at your table! You will have 10 minutes to work on this!

Which ones are vertical angles? When two lines intersect, the angles that are opposite of each other are vertical angles 1 4 2 3 Which ones are vertical angles?

Check In: Name those Angle Pairs!!! Name a linear pair of angles Name a pair of vertical angles 4 and 5 1 and 4

Find the Measure of all of the Angles 125° 55° 4 2 55° 3 125°

Find the measurement of all other angles in the picture. 80° 30° 70° 70° 30° 80°

Find all the remaining angle measures. Give a reason for each. 90° 40° 40° 140°

Summary: Name an example of each of the following: An acute angle An obtuse angle A right angle A straight angle A pair of adjacent angles A pair of vertical angles A pair of complementary angles A pair of supplementary angles A pair of congruent angles A B C D E F H G

Do you remember? Triangle Angle Sum Theorem: The sum of the measures of the interior angles of a triangle are 180°

Solving for missing angles

Homework! Complete Pg. 939 1- 9 And the ½ sheet