Question

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

• A. Acute angle
• B. Obtuse angle
• C. Reflex angle

Answer 1

Answer: (A), (B)

Obtuse angle

We know reflex angles are greater than ${180}^o$ and less than ${360}^o$.

Consider a reflex angle ${200}^o$ that is less than ${270}^o$.

Now, ${360}^o-{200}^o={160}^o$
The resulting angle is obtuse.

Furthermore, consider a reflex angle ${300}^o$ that is more than ${270}^o$.

$\to {360}^o-{300}^o={60}^o$
In this case, the resulting angle is acute.

$\therefore$ When the measure of a reflex angle is subtracted from ${360}^o,$ the resulting angle can be acute or obtuse.