Download All about Angles KEY

Geometry
HS Mathematics
Unit:01 Lesson:01
All about Angles KEY
Angle Theorems
Vertical angles are conqruent.
lf two angles are supplementary to the same angle or to congruent angles, they are
conqruent.
lf two angles are complementary to the same angle or to congruent angles, they are
conqruent.
r
.
o
Examples
Use the figure to answer problems
#10 11 below.
-
10. lt m IAOC = 16x - 20 and m IBAD = 13x+7, find the value of x and the degree measure
of the two angles.
X = 9, m Z. AQC = m IBOD = 124 o
11- if
mIAOB= 4x + 15 and mLAOC = 3x + 25, find the degree measures af IAOB and
ZAOC.
x = 20,
mIAOB = 95 o and m lAOC
= 85
o
Solve the following problems using the given information.
12.
lX
and /.Y arecomplementary angles. lt m ZX= 3x + 7 and m
value of x and the degree measure of each angle.
x = 7, m /"X = 28 o, m /"Y = 62"
lY
= 6x+20, find the
13. The measure of the complement of an angle is one-fourth the measure of the
supplement of the angle. Find the measure of the angle,
The angle measures 60 o.
x = angle
90-x=complement
180-x=supplement
complemepl =
(1
/4)supplement
90-x=(1t4)(180-x)
360-4x= 180-x
180 = 3x
x=60
@2012, TESCCC
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