Classify angles. | (a) | (a) ∡DEF is _____ |
(b) | (b) ∡GHI is _____ | |
(c) | (c) ∡JKL is _____ |
a.
To classify: The angle DEF as acute, obtuse, or right.
Answer to Problem 2P
The angle DEF is
Explanation of Solution
Definition used:
An angle is acute when the measure of the angle is in between
An angle is right when the measure of the angle is exactly
An angle is obtuse when the measure of the angle is in between
Calculation:
Note that the measure of the given angle is less than
Thus by the above definition, the angle DEF is
b.
To classify: The angle GHI as acute, obtuse, or right.
Answer to Problem 2P
The angle GHI is
Explanation of Solution
Definition used:
An angle is said to be acute when the measure of the angle is in between
An angle is said to be right when the measure of the angle is exactly
An angle is said to be obtuse when the measure of the angle is in between
Calculation:
Note that the measure of the given angle is less than
Thus by the above definition, the angle GHI is
c.
To classify: The angle JKL as acute, obtuse, or right.
Answer to Problem 2P
The angle JKL is
Explanation of Solution
Definition used:
An angle is said to be acute when the measure of the angle is in between
An angle is said to be right when the measure of the angle is exactly
An angle is said to be obtuse when the measure of the angle is in between
Calculation:
Note that the measure of the angle JKL is exactly
Thus by the above definition, the angle JKL is
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