Angle Relationships
Warm Up
• Complementary angles are two angles
whose measures have a sum of 90°.
• Supplementary angles are two angles
whose measures have a sum of 180°.
• Adjacent angles are pairs of angles that
share a vertex and one side, but do not
overlap.
• Congruent angles have the same
measure.
• Vertical angles are opposite angles
formed by two intersecting lines and are
congruent.
• Use the relationships about angle pairs, such
as supplementary, complementary, or vertical
angles, to write and solve an equation to find
the unknown measure of an angle.
• Two intersecting lines form two pairs of
opposite congruent angles. Also, the two
measures of each pair of adjacent angles
formed by the lines add up to 180°.
Angle A and angle B are adjacent
supplementary angles and
m<A = 5(m<B). What are
the measures of angles A and B?
• Are angles BFC and DFE vertical angles?
Explain.
• What angle relationship could we use to find
m<CFE?
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Name a pair of vertical angles.
Name a pair of adjacent angles.
Name a pair of complementary angles.
Name a pair of supplementary angles.
Must supplementary angles be
adjacent? Justify your answer.
Find the measure of angle RST.
Find the measure of angle HJK.
The measure of A is 4° greater
than the measure of B. The two
angles are complementary. Find
the measure of each angle.
The measure of D is 5 times the
measure of E. The two angles are
supplementary. Find the measure
of each angle.
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