volume_mute
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
volume_mute
Since m(∠1) is an (1)
angle.
Since m(∠2) is an (2)
Since m(∠BDE) is a (3)
Since m(∠ABC) is a (4)
drag and drop the selected option to 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