Angles

Angles

​We need to see what we remember from yesterday!

​Reminder:

• ​complementary

• ​supplementary

Multiple Choice

What are complementary angles?

• Angles that add up to 180°

• Angles that add up to 90°

• Angles that are equal to each other

• Angles that are opposite of each other when lines intersect.

Multiple Choice

What is an example of a pair of complementary angles?

• 13° and 45°

• 10° and 170°

• 81° and 9°

• 90° and 3°

Multiple Choice

What are supplementary angles?

• Angles that add up to 180°

• Angles that add up to 90°

• Angles that are equal to each other

• Angles that are opposite of each other when lines intersect

Multiple Choice

• x = 118

• x = 108

• x = 28

• x = 58

Multiple Choice

What is the measure of the missing angle?

• 76

• 86

• 166

• 156

Multiple Choice

What is the value of "a"?

• 75°

• 65°

• 55°

• 85°

Multiple Choice

• 3x+10-2x=180

• 3x+10+2x=180

• 3x+10=180

• 3x+10=2x

Multiple Choice

• 2x-6=7x+4

• 2x-6+7x+4=180

• 2x-6+7x+4=90

• 2x-6+7x+4=360

​Vertical Angles

​These are angles that are diagonally across from each other.

​

​Vertical angles are congruent in angle measure.

Multiple Choice

Which angles are vertical angles?

• $$\angle8\ \&\ \angle7$$

• $$\angle8\ \&\ \angle6$$

• $$\angle8\ \&\ \angle5$$

Multiple Choice

Vertical angles are always

• acute

• total 180 degrees

• congruent (equal measures)

• adjacent angles

​Congruent means SAME size!

​

​If angle b is 45 degrees, what is angle a?

Multiple Choice

If m∠1 = 30°, then m∠3 = 

• 30°

• 60°

• 150°

• undetermined

Multiple Choice

Find the missing angle.  Find x.

• 20^o

• 70^o

• 160^o

• 180^o

Multiple Choice

Find the missing Measure in each figure

• 112

• 68

• 22

• 248

​hmmm....

​We need to find all of the other angles.

​

​

​One angle is 30 degrees. Which one is it?

​

​How are we going to find the other two angles?

​

​We know that the red angles are 54 degrees.

​

​To find the blue angles, we will need to subtract.

​180-54=126.

​This is because they are STRAIGHT LINES!!!

Multiple Choice

Find the missing angles

• x=137, y=43, z=137

• x=137, y=137, z=43

• x=43, y=43, z=133

• x=137, y=43, z=43

​So what if we have something like this?

​We know that they are vertical angles.

​soooo...

​

​m + 20 = 100

​ -20 -20

​m = 80

​Vertical Angles

​These angles are equal.

​

​So...

​

​6x = 30

​we divide both sides by 6

​

​so x = 5

​Vertical Angles

• ​These angles are equal.

• ​

3t+12 = 66

​ -12 -12

​3t= 54

​divide by 3

​t= 18

Multiple Choice

Find x

• 15 degrees

• 12 degrees

• 24 degrees

• 10 degrees

Multiple Choice

Find the value of x.

• 20

• 12

• 17

• 14