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 angles

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.

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.

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.

WHAT ARE VERTICAL ANGLES?

Two angles are vertical angles when their sides form two pairs of opposite rays.

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.