how do you use vertical and adjacent angles to find unknown angle measures? for example what is the...
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![Page 1: How do you use vertical and adjacent angles to find unknown angle measures? For example What is the measure of angle x? x o 115 o](https://reader036.vdocuments.net/reader036/viewer/2022062519/5697c00f1a28abf838cca7f0/html5/thumbnails/1.jpg)
How do you use vertical and adjacent angles to find unknown angle measures?
For exampleWhat is the measure of angle x?
xo
115o
![Page 2: How do you use vertical and adjacent angles to find unknown angle measures? For example What is the measure of angle x? x o 115 o](https://reader036.vdocuments.net/reader036/viewer/2022062519/5697c00f1a28abf838cca7f0/html5/thumbnails/2.jpg)
In this lesson you will learn to solve for unknown angle
measures by using vertical and adjacent angles.
![Page 3: How do you use vertical and adjacent angles to find unknown angle measures? For example What is the measure of angle x? x o 115 o](https://reader036.vdocuments.net/reader036/viewer/2022062519/5697c00f1a28abf838cca7f0/html5/thumbnails/3.jpg)
Let’s ReviewLet’s Review
A straight angle measures exactly 180o.
180o
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Let’s ReviewLet’s Review
Supplementary angles are two angles whose sum is 180o.
150o + 30o =180o
150o 30o
![Page 5: How do you use vertical and adjacent angles to find unknown angle measures? For example What is the measure of angle x? x o 115 o](https://reader036.vdocuments.net/reader036/viewer/2022062519/5697c00f1a28abf838cca7f0/html5/thumbnails/5.jpg)
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.
![Page 6: How do you use vertical and adjacent angles to find unknown angle measures? For example What is the measure of angle x? x o 115 o](https://reader036.vdocuments.net/reader036/viewer/2022062519/5697c00f1a28abf838cca7f0/html5/thumbnails/6.jpg)
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.
![Page 7: How do you use vertical and adjacent angles to find unknown angle measures? For example What is the measure of angle x? x o 115 o](https://reader036.vdocuments.net/reader036/viewer/2022062519/5697c00f1a28abf838cca7f0/html5/thumbnails/7.jpg)
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.
![Page 8: How do you use vertical and adjacent angles to find unknown angle measures? For example What is the measure of angle x? x o 115 o](https://reader036.vdocuments.net/reader036/viewer/2022062519/5697c00f1a28abf838cca7f0/html5/thumbnails/8.jpg)
In this lesson you have learned to solve for an unknown angle measure by using vertical and
adjacent angles.
![Page 9: How do you use vertical and adjacent angles to find unknown angle measures? For example What is the measure of angle x? x o 115 o](https://reader036.vdocuments.net/reader036/viewer/2022062519/5697c00f1a28abf838cca7f0/html5/thumbnails/9.jpg)
Let’s ReviewGuided Practice
Find the unknown angle measures in the figure below.
55o
a b
c
![Page 10: How do you use vertical and adjacent angles to find unknown angle measures? For example What is the measure of angle x? x o 115 o](https://reader036.vdocuments.net/reader036/viewer/2022062519/5697c00f1a28abf838cca7f0/html5/thumbnails/10.jpg)
Let’s ReviewExtension Activities
Find the unknown angle measures in the figure below.
39o 42o
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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
![Page 12: How do you use vertical and adjacent angles to find unknown angle measures? For example What is the measure of angle x? x o 115 o](https://reader036.vdocuments.net/reader036/viewer/2022062519/5697c00f1a28abf838cca7f0/html5/thumbnails/12.jpg)
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