Questions & Answers
Question
AnswersClassify the following angle as acute, obtuse, straight, right, zero and complete angle.
${179^ \circ }$.
Answer
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Hint: Here we will find the given angles are acute, obtuse, straight, right, zero and complete angle. Using some rules for angles we will find the answer. Here we will use what are the types of angle and its definitions. We will see briefly for its explanation.
Complete step-by-step solution:
First, we will see brief explanation of angles
An angle whose measure is more than ${0^ \circ }$ but less than ${90^ \circ }$ is called an acute angle. Angles having magnitudes ${30^ \circ },{40^ \circ },{60^ \circ }$ are all acute angles.
An angle whose measure is equal to ${90^ \circ }$ is called a right angle.
An angle whose measure is more than ${90^ \circ }$ but less than ${180^ \circ }$ is called an obtuse angle.
An angle whose measure is equal to ${180^ \circ }$ is called a straight angle.
An angle whose measure is equal to ${360^ \circ }$ is called a complete angle.
An angle equal to ${0^ \circ }$ or not turned is called a zero angle.
Well, here ${179^ \circ }$ is greater than ${90^ \circ }$ and less than ${180^ \circ }$ is called an obtuse angle.
Note: A positive angle goes Counterclockwise (opposite direction that clocks go). Negative
angle goes clockwise. The corner point of an angle is called the vertex. And the two straight sides are called arms. The angle is the amount of turn between each arm.
The smaller angle is an Obtuse Angle, but the larger angle is a Reflex Angle.
Complete step-by-step solution:
First, we will see brief explanation of angles
An angle whose measure is more than ${0^ \circ }$ but less than ${90^ \circ }$ is called an acute angle. Angles having magnitudes ${30^ \circ },{40^ \circ },{60^ \circ }$ are all acute angles.
An angle whose measure is equal to ${90^ \circ }$ is called a right angle.
An angle whose measure is more than ${90^ \circ }$ but less than ${180^ \circ }$ is called an obtuse angle.
An angle whose measure is equal to ${180^ \circ }$ is called a straight angle.
An angle whose measure is equal to ${360^ \circ }$ is called a complete angle.
An angle equal to ${0^ \circ }$ or not turned is called a zero angle.
Well, here ${179^ \circ }$ is greater than ${90^ \circ }$ and less than ${180^ \circ }$ is called an obtuse angle.
Note: A positive angle goes Counterclockwise (opposite direction that clocks go). Negative
angle goes clockwise. The corner point of an angle is called the vertex. And the two straight sides are called arms. The angle is the amount of turn between each arm.
The smaller angle is an Obtuse Angle, but the larger angle is a Reflex Angle.