Question

Find the complementary angle pair among the following

• A. ${25}^o$
• B. ${40}^o$
• C. ${89}^o$
• D. ${65}^o$

Answer 1

Answer: (A), (D)

${65}^o$
${25}^o$

Note:- If the sum of two angles is ${90}^0$, then those two angles are called complementary angles.

Then, solve

Part (A). let $x$ be the measure of a complementary angle required.

Now,

$x+{25}^0={90}^0$

$x={90}^0-{25}^0$

$x={65}^{0}Ans.$

Part (B). let $y$ be the measure of a complementary angle required.

Now,

$y+{40}^0={90}^0$

$y={90}^0-{40}^0$

$y={50}^{0}Ans.$

Part (C). let $z$ be the measure of a complementary angle required.

Now,

$z+{89}^0={90}^0$

$z={90}^0-{89}^0$

$y=1^{0}Ans.$

Part (C). let $a$ be the measure of a complementary angle required.

Now,

$a+{55}^0={90}^0$

$z={90}^0-{55}^0$

$y={35}^{0}Ans.$