Question

Choose the acute angle(s).

• A. Complementary angle of $0^o$
• B. Complementary angle of ${65}^o$
• C. The bisected angle of ${175}^o$
• D. Supplementary angle of ${175}^o$

Answer 1

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

Supplementary angle of ${175}^o$

Any angle whose measure is between $0^o$ and ${90}^o$ is called an acute angle.

Let's evaluate each option one by one.

(a) Complementary angle of $0^o$ is ${90}^o-0^o={90}^o$
It is not less than ${90}^o.$
Hence, it is not an acute angle.

(b) Complementary angle of ${65}^o$ is ${90}^o-{65}^o={25}^o$
It is less than ${90}^o.$
Hence, it is an acute angle.

(c) The bisected angle of ${175}^o$ is $\frac{{175}^o}{2}={87.5}^o$
It is an acute angle.

(d) Supplementary angle of ${175}^o$ is ${180}^o-{175}^o=5^o$
It is an acute angle.

Correct options are (b), (c) and (d).