Download 1.5 Angle Relationships

September 22, 2014
1.5 Angle Relationships
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Supplementary angles - 2 angles that sum up to 180º
Complementary angles - 2 angles that sum up to 90º
Adjacent angles - 2 angles that share a common vertex and side
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September 22, 2014
Ex 1: What is the complement and supplement of each angle?
a) 34º
b) 86º
Ex 2: Use the diagram to the right to answer the following
questions.
a) Name a pair of supplementary angles
b) Name a pair of complementary angles
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c) Name a pair of adjacent angles
Ex 3: Find x and y.
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(5x+30)º
(4x+15)º P (3y-15)º
(3y+15)º
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Guided Practice
1. Given that ∠1 is a complement of ∠2 and m∠1=8º,
find m∠2.
2. ∠LMN and ∠PQR are complementary angles. Find
the measures of the angles if m∠LMN = (4x - 2)º and
m∠PQR = (9x + 1)º.
3. Two roads intersect to form supplementary angles,
∠XYW and ∠WYZ. Find m∠XYW and m∠WYZ.
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(2x + 14)º
(4x - 20)º
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Z
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September 22, 2014
vertical angles: 2 ∠s whose sides form 2 pairs of opposite rays.
linear pair: 2 adjacent ∠s whose noncommon sides form
opposite rays.
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Ex 4: Use the diagram to answer the following
a) Are ∠1 and ∠2 a linear pair?
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b) Are ∠4 and ∠5 a linear pair?
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a) Are ∠5 and ∠3 vertical angles?
Ex 5: T and V are supplementary. The measure of T is
half of the measure of V. Find the measure of each
angle.
Guided Practice
5. Two angles form a linear pair. The measure of one angle is
5 times the measure of the other. Find the measure of each
angle.
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September 22, 2014
1.5 Angle Relationships
Complementary angles - two angles whose sum is 90º
• Each angle is the
Supplementary angles - 2 angles whose sum is 180º
• Each angle is the
Complementary and supplementary angles can be
Adjacent angles - 2 angles that share a common vertex and
common side.
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