1.3 Angles and Their Measures 4. 5x + 2 = 8x – 10.
-
Upload
shonda-watts -
Category
Documents
-
view
218 -
download
1
Transcript of 1.3 Angles and Their Measures 4. 5x + 2 = 8x – 10.
1.3 Angles and Their Measures
Warm Up
1. Draw opposite rays and .
Solve each equation.
3. 2x + 3 + x – 4 + 3x – 5 = 180
2. Draw and , where A, B, and C are noncollinear.
4. 5x + 2 = 8x – 10
Name and classify angles.
Measure and construct angles and angle bisectors.
Objectives
1.3 Angles and Their Measures
angle is a figure formed by two ______, or sides, with a common _____________ called the vertex (plural: vertices).
R,
Angle Name
SRT, TRS, or 1
You cannot name an ______ just by its ______ if the point is the vertex of more than ____ _______. In this case, you must use all _____ _______ to name the angle, and the _______ point is always the vertex.
angle vertexone
three pointsmiddle
angle
raysendpoint
The measure of an angle is usually given in degrees. Since there are 360° in a circle, one degree is of a circle. When you use a protractor to measure angles, you are applying the following postulate.
Find the measure of each angle. Then classify each as acute, right, or obtuse.
Example 5
C. WXV
B. ZXW
A. YXW
Example 6
Find the measure of each angle. Then classify each as acute, right, or obtuse.
C. COD
B. BOCA. AOB
D. DOB
Congruent angles are angles that have the same ___________.Arc marks are used to show that the two angles are congruent.
measure
In the diagram, mABC = mDEF, so ABC DEF.
An angle bisector is a _____ that divides an angle into ____ _________ ______.
raytwo congruent angles
bisects LJM; thus LJK KJM.