find the complement of , where
DESCRIPTION
WARM UP. Find the complement of , where. An angle measures 6 more than 3 times its supplement. Find the measure of its supplement. SPECIAL ANGLE PAIRS. Complimentary Angles. Angles that sum to 90°. Supplementary Angles. Angles that sum to 180°. V. X. Z. Y. W. - PowerPoint PPT PresentationTRANSCRIPT
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Find the complement of , where )103( xT
WARM UP
T
An angle measures 6 more than 3 times its supplement. Find the measure of its supplement.
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ComplimentaryComplimentaryAnglesAngles
Angles that sum to 90°
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SupplementarySupplementaryAnglesAngles
Angles that sum to 180°
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Not all intersecting lines form right angles, but they do form four angles that have special relationships.
V
Z
WY
X
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AdjacentAdjacent
To be next to.
SHARING a side.
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Vertical AnglesVertical AnglesTwo non-adjacent angles formed
by two intersecting lines.
Angles that are ACROSS from each other when
two lines cross.
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Vertical AnglesVertical AnglesV
Z
WY
X
Vertical angles are ALWAYS CONGRUENT
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Linear PairLinear PairAdjacent angles whose non-
common sides are opposite rays.
Two adjacent angles that are supplementary.
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Linear PairLinear Pair
V
Z
WY
X
mYZV + mVZX = 180°
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Example 1
AC and DE intersect at B. Find the value of ‘x’ and the measure of EBC.
A
B
CD
E(2x + 20)
(3x + 15)
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Example 2
GH and JK intersect at I. Find the value of ‘x’ and the measure of JIH.
G
I
H
K
J(16x – 20)
(13x + 7)
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Example 3
LN and OP intersect at M. Find the value of ‘x’ and the measures of LMO and OMN.
L
M
NO
P
(7x + 20)
(5x + 10)
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Example 4
If 1 and 2 are complements, with m1 = (2x + 20) and m2 = (3x + 15), find the value of ‘x’.
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Example 5
Find all of the missing angles.
m1 = __________m2 = __________m3 = __________m 4 = __________
12
3
4110
45
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Example 6
CD AB, m1 = (6x – 3), m2 = (7x – 11). Find the value of ‘x’.
A
B
D
21
C