Question

6. Classify the angles whose measures are given below:
(i) 56°
(ii) 125°
(iii) 90°
(0) 215°
(vi) 328°
(vii) 89°
(iv) 180°
(viii) 178°

Please answer properly as soon as possible.​

Answer 1

The angles can be classified as follows:

(i) 56° - Acute angle

(ii) 125° - Obtuse angle

(iii) 90° - Right angle

(iv) 180° - Straight angle

(v) 215° - Reflex angle

(vi) 328° - Reflex angle

(vii) 89° - Acute angle

(viii) 178° - Obtuse angle

An acute angle is an angle that measures less than 90 degrees.

An obtuse angle is an angle that measures greater than 90 degrees but less than 180 degrees.

A right angle is an angle that measures exactly 90 degrees.

A straight angle is an angle that measures exactly 180 degrees.

A reflex angle is an angle that measures greater than 180 degrees but less than 360 degrees.

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Answer 2

Answer:

Based on the given explained classification, we can classify the given angles as follows:

• (i) 56° is an acute angle.
• (ii) 125° is an obtuse angle.
• (iii) 90° is a right angle.
• (iv) 180° is a straight angle.
• (v) 328° and 215° are reflex angles.
• (vi) They both are ref.ex.
• (vii) 89° is an acute angle.
• (viii) 178° is an obtuse angle.

Step-by-step explanation:

Angles can be classified into various types based on their measurements. The most common classification of angles is based on their measures, and the following are the types of angles based on their measures:

Acute angle: An angle whose measure is less than 90 degrees is called an acute angle. Example: 56° and 89°.

Right angle: An angle whose measure is exactly 90 degrees is called a right angle. Example: 90°.

Obtuse angle: An angle whose measure is greater than 90 degrees but less than 180 degrees is called an obtuse angle. Example: 125°.

Straight angle: An angle whose measure is exactly 180 degrees is called a straight angle. Example: 180°.

Reflex angle: An angle whose measure is greater than 180 degrees but less than 360 degrees is called a reflex angle. Example: 215° and 328°.

Full angle: An angle whose measure is exactly 360 degrees is called a full angle.

Based on the above classification, we can classify the given angles as follows:

(i) 56° is an acute angle.

(ii) 125° is an obtuse angle.

(iii) 90° is a right angle.

(iv) 180° is a straight angle.

(v) 328° and 215° are reflex angles.

(vi) 89° is an acute angle.

(vii) 178° is an obtuse angle.

It is important to note that angles can also be classified based on their positions relative to each other, such as complementary, supplementary, and adjacent angles. Understanding the different types of angles and their classifications is crucial in many areas of mathematics, such as geometry and trigonometry.

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