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Question

What type(s) of angle is/are obtained when the measure of a reflex angle is subtracted from 360o?

A
Acute angle
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B
Obtuse angle
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C
Reflex angle
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Solution

The correct option is B Obtuse angle
We know reflex angles are greater than 180o and less than 360o.

Consider a reflex angle 200o that is less than 270o.

Now, 360o200o=160o
The resulting angle is obtuse.

Furthermore, consider a reflex angle 300o that is more than 270o.

360o300o=60o
In this case, the resulting angle is acute.

When the measure of a reflex angle is subtracted from 360o, the resulting angle can be acute or obtuse.

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