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Classify each angle in the figure as an acute angle, a right angle, an obtuse angle, or a straight angle

publish date: 2023/01/30 10:24:00 GMT+11

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angle_example_1.jpg

Since m(∠1) is an (1) transparent angle.

Since m(∠2) is an (2) transparent  angle.

Since m(∠BDE) is a (3) transparent  angle.

Since m(∠ABC) is a (4) transparent angle

Please drag and drop the selected option in the right place or type it instead
straight
acute
right
obtuse

Correct Answer

(1) acute
(2) obtuse
(3) right
(4) straight

Explanation

Strategy We will determine how each angle’s measure compares to 90° or to 180°.

WHY Acute, right, obtuse, and straight angles are defined with respect to 90° and 180° angle measures

Solution
Since m(∠1) < 90o , it is an acute angle.
Since m(∠2) > 90o but less than 180°, it is an obtuse angle.
Since m(∠BDE) = 90o , it is a right angle.
Since m(∠ABC) =180o, it is a straight angle

Reference

Mathematics for college students

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