Find the complement of each of the following angles.

Question:

Find the complement of each of the following angles.

(i) $55^{\circ}$

(ii) $16^{\circ}$

(iii) $90^{\circ}$

(iv) $\frac{2}{3}$ of a right angle

 

Solution:

Two angles whose sum is $90^{\circ}$ are called complementary angles.

(i) Complement of $55^{\circ}=90^{\circ}-55^{\circ}=35^{\circ}$

(ii) Complement of $16^{\circ}=(90-16)^{\circ}=74^{\circ}$

(iii) Complement of $90^{\circ}=90^{\circ}-90^{\circ}=0^{\circ}$

(iv) $\frac{2}{3}$ of a right angle $\Rightarrow\left(90 \times \frac{2}{3}\right)^{\circ}=60^{\circ}$

Complement of $\frac{2}{3}$ of a right angle $=(90-60)^{\circ}=30^{\circ}$

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