Essential Question How can you describe angle pair relationships and use thee descriptions to find angle measures Objectives Identify complementary and supplementary angles Identify linear pairs and vertical angles ID: 462845
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Slide1
Unit 01 – Lesson 06 – Angle Relationships
Essential Question
How can you describe angle pair relationships and use thee descriptions to find angle measures?
Objectives
Identify complementary and supplementary angles
Identify linear pairs and vertical anglesSlide2
What are Complementary & Supplementary angles?
Complementary Angles
Two positive angles whose measures have a sum of 90
°.
Each angle is the complement of the other.
Supplementary Angles
Two positive angles whose measures have a sum of 180°. Each angle is the supplement of the other. Slide3
What are Adjacent Angles?
Complementary angels an supplementary angles can be adjacent angles or nonadjacent angles.
Adjacent
angles
are two angles that lie in the same plane and have a common vertex and a common side, but no common interior points. Slide4
What is a Linear Pair?
Two adjacent angles are a
linear pair
when their uncommon sides are opposite rays.
The angles in a linear pair are supplementary angles.Slide5
What are vertical angles?
Two angles are
vertical angles
when their sides form two pairs of opposite rays. Slide6
Interpreting a Diagram
YOU CAN CONCLUDE:
All points shown are coplanar.
Points A,B, an C are collinear, and B is between A and C.
, and
intersects at point B.∠DBE an ∠EBC are adjacent angles, and ∠ABC is straight angle.
Point E lies in the interior of ∠DBC.
YOU CANNOT CONCLUDE:
≅
∠DBE
≅
∠EBC
∠ABD is a right angle.