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Geometry: Finding Angle Measures
Using Angles:
There are many angles in the figure that is shown below. Use the facts about different
types of angles (that are given as a reminder) to answer the following questions:
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A right angle measures 90°.
A straight angle measures 180°.
An acute angle measures between 0° and 90°.
An obtuse angle measures between 90° and 180°.
Two angles that have a sum of 90° are called complementary angles.
Two angles that have a sum of 180° are called supplementary angles.
Angles on opposite sides of the same vertex are called vertical angles.
Angles that share a common side (and vertex) are called adjacent angles.
Use the following figure to answer the questions below:
a.
b.
c.
d.
If
AVB measures 40°, what is the measure of
BVE?
If
AVC measures 90°, what is the measure of
CVE?
If
AVB measures 40°, what is the measure of
BVC?
If
AVB measures 40° and
DVE?
Solutions:
a.
b.
c.
d.
140 degrees
90 degrees
50 degrees
80 degrees
BVD measures 60°, what is the measure of
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