do now: solve for x. calculate the measure of all three angles, and identify each angle as acute,...

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Do Now: Solve for x. Calculate the measure of all three angles, and identify each angle as acute, obtuse, or right. <ABC with ray BD. <ABD = (x – 21), <DBC = 25, <ABC = 3x – 100

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Page 1: Do Now: Solve for x. Calculate the measure of all three angles, and identify each angle as acute, obtuse, or right

Do Now: Solve for x. Calculate the measure of all three angles, and identify each angle as acute,

obtuse, or right. <ABC with ray BD. <ABD = (x – 21), <DBC = 25, <ABC = 3x – 100

Page 2: Do Now: Solve for x. Calculate the measure of all three angles, and identify each angle as acute, obtuse, or right

Vocabulary

Congruent Angles: Two angles are congruent if they have the same measure.

Page 3: Do Now: Solve for x. Calculate the measure of all three angles, and identify each angle as acute, obtuse, or right

Angle Bisector

• A ray that divides an angle into 2 congruent adjacent angles.

BD is an angle bisector of <ABC.

B

A

C

D

Page 4: Do Now: Solve for x. Calculate the measure of all three angles, and identify each angle as acute, obtuse, or right

Ex: If FH bisects EFG & mEFG=120o, what is mEFH?

G

H

E

F

o602

120

oEFHm 60

Page 5: Do Now: Solve for x. Calculate the measure of all three angles, and identify each angle as acute, obtuse, or right

Example: If both angles are congruent, solve for x.

x+40o

3x-20o

* If they are congruent, set them equal to each other, then

solve!

x+40 = 3x-20

40 = 2x-20

60 = 2x

30 = x

Page 6: Do Now: Solve for x. Calculate the measure of all three angles, and identify each angle as acute, obtuse, or right

Practice (10 Minutes)

Page 30

29-31 and 40-42

Page 7: Do Now: Solve for x. Calculate the measure of all three angles, and identify each angle as acute, obtuse, or right

Segment and Angle Addition Postulate ReviewEach member of the group must complete one step of each problem on the board. When the last person is done, s/he must put the answer on the whiteboard and hold it up for Sis. Uchenna to see it!

Page 8: Do Now: Solve for x. Calculate the measure of all three angles, and identify each angle as acute, obtuse, or right
Page 9: Do Now: Solve for x. Calculate the measure of all three angles, and identify each angle as acute, obtuse, or right
Page 10: Do Now: Solve for x. Calculate the measure of all three angles, and identify each angle as acute, obtuse, or right
Page 11: Do Now: Solve for x. Calculate the measure of all three angles, and identify each angle as acute, obtuse, or right
Page 12: Do Now: Solve for x. Calculate the measure of all three angles, and identify each angle as acute, obtuse, or right
Page 13: Do Now: Solve for x. Calculate the measure of all three angles, and identify each angle as acute, obtuse, or right
Page 14: Do Now: Solve for x. Calculate the measure of all three angles, and identify each angle as acute, obtuse, or right
Page 15: Do Now: Solve for x. Calculate the measure of all three angles, and identify each angle as acute, obtuse, or right