How do you use vertical and adjacent angles to find unknown angle measures? For example What is the...
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Transcript of How do you use vertical and adjacent angles to find unknown angle measures? For example What is the...
How do you use vertical and adjacent angles to find unknown angle measures?
For exampleWhat is the measure of angle x?
xo
115o
In this lesson you will learn to solve for unknown angle
measures by using vertical and adjacent angles.
Let’s ReviewLet’s Review
A straight angle measures exactly 180o.
180o
Let’s ReviewLet’s Review
Supplementary angles are two angles whose sum is 180o.
150o + 30o =180o
150o 30o
Let’s ReviewCore Lesson
A and B Streets intersect at an angle, as shown below. The city wants to add gardens in the areas formed by the intersection. The
designer needs to know the angles that the streets intersect in order to complete the designs. If it is known that one angle
measures 85o, what are the measures of the other three angles?
85o
xy
zA St. B St.
Let’s ReviewCore Lesson
x
y
z
85oAdjacent angles share a vertex
and a side. In this case, they are supplementary angles because
they are created by two intersecting lines.
85o + x = 180o
x = 95o
A St. B St.
Let’s ReviewCore Lesson
x
y
z
85o
y= 85o
z = 95o
A St. B St.
Vertical angles share a vertex but not a side. They have the same
measure.
In this lesson you have learned to solve for an unknown angle measure by using vertical and
adjacent angles.
Let’s ReviewGuided Practice
Find the unknown angle measures in the figure below.
55o
a b
c
Let’s ReviewExtension Activities
Find the unknown angle measures in the figure below.
39o 42o
Let’s ReviewExtension Activities
In the figure below Andrew stated that the measure of angle x is 72o. Is Andrew correct? Explain your reasoning.
72ox
yz
Let’s ReviewQuick Quiz
Use the figure below to determine the measures of angles a, b, and c.
Use the figure below to determine the measures of angles x, y, and z.
29oa
bc
71o xy
z