This document discusses different types of angles including right angles, acute angles, obtuse angles, straight angles, complementary angles, and supplementary angles. It provides examples of using the angle addition postulate to solve for unknown angle measures in diagrams where angles are adjacent or supplements. The examples show setting up and solving equations to find the value of angle X.

1. Ch3.2_TypesOfAngles.notebook September 27, 2011
Chapter 3.2
Types of Angles
Types of Angles
Postulate 7
Right ­ exactly 900
Protractor Acute ­ less than 900
Obtuse ­ greater than 900 less than 1800
Straight ­ exactly 1800
Complementary ­ 2 or more angles that
add up to 900
Supplementary ­ 2 or more angles that
add up to 1800
Postulate 8
"Angle Addition Postulate" Find the angle measures
<AXB + BXC = AXC
< <
A
B
800
400
X C
These angles are ADJACENT angles.
They share a vertex and a side

2. Ch3.2_TypesOfAngles.notebook September 27, 2011
Example Example
Solve for X
The measure of <XYZ is 150 less than
twice the measure of its supplement.
Find the measure of angle XYZ
30o
X
Example Example
Solve for X Solve for X
34o ____0
X
o X 50 o
30
Page 110
1 ­7, 11 ­ 16, 22 ­ 25 all