Question

Find the complements of ${68}^o$ and ${33}^o$ respectively.

• A. ${22}^o,{57}^o$
• B. ${57}^o,{22}^o$
• C. ${33}^o,{67}^o$
• D. ${67}^o,{33}^o$

Answer 1

Answer: (A)

${22}^o,{57}^o$

We know, two angles are complementary when they add up to ${90}^o.$

Given, measure of one complementary angle is ${68}^o.$

$\Rightarrow$ Measure of other complementary angle $={90}^o-{68}^o$ $={22}^o.$

$\therefore$ Measure of a complementary angle of ${68}^o={22}^o$.

Also given, measure of one complementary angle is ${33}^o.$

$\Rightarrow$ Measure of other complementary angle $={90}^o-{33}^o$ $={57}^o.$

$\therefore$ Measure of a complementary angle of ${33}^o={57}^o$.

Hence, option $A$ is correct.