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Mathematics

Classify each of the following as acute, obtuse or a reflex angle :

(i) 103°

(ii) 88°

(iii) 10°

(iv) 200°

(v) 89.5°

(vi) 105°

(vii) 176°

(viii) 182°

Lines & Angles

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Answer

(i) 103°

The angle is more than 90° but less than 180°.

∴ It is an obtuse angle.

(ii) 88°

The angle is less than 90°.

∴ It is an acute angle.

(iii) 10°

The angle is less than 90°.

∴ It is an acute angle.

(iv) 200°

The angle is greater than 180° but less than 360°.

∴ It is a reflex angle.

(v) 89.5°

The angle is less than 90°.

∴ It is an acute angle.

(vi) 105°

The angle is more than 90° but less than 180°.

∴ It is an obtuse angle.

(vii) 176°

The angle is more than 90° but less than 180°.

∴ It is an obtuse angle.

(viii) 182°

The angle is greater than 180° but less than 360°.

∴ It is a reflex angle.

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