Angle Relationships. Warm Up Complementary angles are two angles whose measures have a sum of 90°....
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Transcript of Angle Relationships. Warm Up Complementary angles are two angles whose measures have a sum of 90°....
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?
• 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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