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Bell Work. Which angles and D as their vertex? Give two other names for <ABD. Does <BDC appear to be acute, right, obtuse, or straight? Find the value of x and m<ABD if m<ABC = 71, m<DBC = 2x – 3, and m<ABD = 3x + 4.

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Bell work

Bell Work

Which angles and D as their vertex?

Give two other names for <ABD.

Does <BDC appear to be acute, right, obtuse, or straight?

Find the value of x and m<ABD if m<ABC = 71, m<DBC = 2x – 3, and m<ABD = 3x + 4.

Suppose MN bisects <RMQ, m<RMN = x + 2, and m<NMQ = 2x – 3. Find the value of x and m<RMQ.

G

B

1

2

A

3

D

C



Vocabulary
Vocabulary

  • Read pages 53 – 55 and define the following terms:

    • Perpendicular lines

    • Adjacent angles

    • Vertical angles

    • Linear pair

    • Supplementary angles

    • Complementary angles


Perpendicular lines
Perpendicular Lines

  • When two lines intersect, they form four angles, but not always right angles.

  • Perpendicular lines are special intersecting lines that form four right angles.




Patty paper activity
Patty Paper Activity

  • Pg. 54 Angle Relationships


Vertical angles are congruent
Vertical Angles are Congruent

  • In the figure, GH and JK intersect at I. Find the value of x and the measure of <JIH.

G

J

16x - 20

I

13x + 7

H

K


Angles
Angles

  • Supplementary angles are two angles whose measures add up to 180°. These are not necessarily a linear pair, but can be.

  • Complementary angles are two angles whose measures add up to 90°. These are not necessarily adjacent angles, but can be.


Example
Example

  • The measure of the supplement of an angle is 60 less than three times the measure of the complement of the angle. Find the measure of the angle.


Check for understanding
Check for Understanding

  • Pg. 58 # 6 – 14


Homework
Homework

  • Pg. 59 # 15 – 33


Review for test
Review for test

  • Pg. 61 – 64 # 1 – 42


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