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.

Diagram showing line segments with angles and perpendicular lines at point B.

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 $$\angle SRT$$.

Triangle with angle labeled 122° at vertex R, points Q, R, and T on a straight line.

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

Triangle with angles labeled, one angle 25°, another labeled x°, and a right angle at vertex B.

Anchor Problems - Problem 3

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

Triangle with angle labeled 38° and another angle labeled x°, forming a right angle at P.

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

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

Problem Set

View Problem Set

Target Task

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

Triangle with points A, B, C, D, and E, where A lies on BD and 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 $$ DAE$$?