Question

Identify the reflex angle(s).

• A. ${63}^o+{93}^o$
• B. $\frac{4}{3}\times {189}^o$
• C. ${63}^o+{93}^o\times \frac{5}{3}$
• D. $\frac{{810}^o}{3}$

Answer 1

Answer: (B), (C), (D)

$\frac{{810}^o}{3}$

Reflex angles are the angles whose measures are between ${180}^o$ and ${360}^o.$

Let's evaluate each given expression.
${63}^o+{93}^o={156}^o$
This is not a reflex angle.

$\frac{4}{3}\times {189}^o=4\times {63}^o={252}^o$
This is a reflex angle.

${63}^o+{93}^o\times \frac{5}{3}=63+{155}^o={218}^o$
This is also a reflex angle.

$\frac{{810}^o}{3}={270}^o$
Again, this is a reflex angle.