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Lessons for Grade 7
Common Core For Grade 7
Examples, videos, and solutions to help Grade 7 students learn how to use facts about supplementary, complementary, vertical, and adjacent angles in a multi-step problem write and solve simple equations for an unknown angle in a figure.
New York State Common Core Math Grade 7, Module 3, Lesson 11
Download worksheets for Grade 7, Module 3, Lesson 11
Lesson 11 Student Outcomes
• Students use facts about supplementary, complementary, vertical, and adjacent angles in a multi-step problem
to write and solve simple equations for an unknown angle in a figure.
Lesson 11 Classwork
Opening Exercise
a. In a complete sentence, describe the angle relationship in the diagram. Write an
equation for the angle relationship shown in the figure and solve for x. Confirm your
answers by measuring the angle with a protractor.
b. CD and EF are intersecting lines. In a complete sentence, describe the angle relationship in the diagram.
Write an equation for the angle relationship shown in the figure and solve for . Confirm your answers by
measuring the angle with a protractor.
c. In a complete sentence, describe the angle
relationship in the diagram. Write an equation for the
angle relationship shown in the figure and solve for y.
Confirm your answers by measuring the angle with a
protractor.
d. The following figure shows three lines intersecting at a point. In a complete sentence, describe the angle
relationship in the diagram. Write an equation for the angle relationship shown in the figure and solve for z.
Confirm your answers by measuring the angle with a protractor.
e. Write an equation for the angle relationship shown in the figure and solve for x. In a complete sentence,
describe the angle relationship in the diagram. Find the measurements of EPB and CPA. Confirm your
answers by measuring the angle with a protractor.
Example 1
The following figure shows three lines intersecting at a point. In a complete
sentence, describe the angle relationship in the diagram. Write an equation
for the angle relationship shown in the figure and solve for x. Confirm your
answers by measuring the angle with a protractor.
Exercise 1
The following figure shows four lines intersecting at a point. In a
complete sentence, describe the angle relationships in the
diagram. Write an equation for the angle relationship shown in
the figure and solve for x and y. Confirm your answers by
measuring the angle with a protractor.
Example 2
In a complete sentence, describe the angle relationships in the
diagram. You may label the diagram to help describe the angle
relationships. Write an equation for the angle relationship
shown in the figure and solve for x. Confirm your answers by
measuring the angle with a protractor.
Exercise 2
In a complete sentence, describe the angle relationships in the diagram.
Write an equation for the angle relationship shown in the figure and solve for
x and y. Confirm your answers by measuring the angle with a protractor.
Example 3
In a complete sentence, describe the angle relationships in the
diagram. Write an equation for the angle relationship shown in the
figure and solve for x. Find the measures of JAH and GAF.
Confirm your answers by measuring the angle with a protractor.
Exercise 3
In a complete sentence, describe the angle relationships in the diagram. Write an
equation for the angle relationship shown in the figure and solve for x. Find the
measure of JKG. Confirm your answers by measuring the angle with a protractor.
Example 4
In the accompanying diagram, DBE is four times the measure of FBG.
a. Label DBE as y° and FBG as x°. Write an equation that
describes the relationship between DBE and FBG
b. Find the value of x.
c. Find the measures of FBG, CBD, ABF, GBE, DBE.
d. What is the measure of ABG? Identify the angle relationship used to get your answer.
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