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${179^ \circ }$.

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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.

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.