Fishtank Learning

7th Grade Math
Unit 6: Geometry
Lesson 1

Objective

Identify and determine values of angles in complementary and supplementary relationships.

Anchor Problems - Problem 1

Use the diagram below to answer the questions.

a.   Name an acute angle.

b.   Name an obtuse angle.

c.   Name a right angle.

d.   Name two adjacent angles.

e.   Name two nonadjacent angles.

Anchor Problems - Problem 2

Two angle diagrams are shown below. Use the information about each diagram to find the measure of the angle described.

a.   Points $$Q$$, $$R$$, and $$T$$ lie on a straight line, as shown below. Find the measure of $$\angle SRT$$.

b.   Angle $${ABC}$$ is a right angle. Find the value of $$x$$.

Anchor Problems - Problem 3

In the diagram below, point $$P$$ lies on line $${QT}$$.

a.   Write and solve an equation to find the measure of $$x$$.

b.   What is the measure of $$\angle RPT$$?

Problem Set

Target Task

In the diagram below, point $$A$$ lies on line $${BD}$$  and $$\angle CAE$$ is a right angle.

 

a.   Describe the relationship between $$\angle DAE$$ and $$\angle EAB$$.

b.   Name two angles that are complementary.

c.   If the measure of angle $$DAC$$ is 74°, what is the measure of angle $$ DAE$$?