Question

Do This
(iv)
Draw an angle ZAOB = 40°. With the same vertex 'O' draw
ZBOC = 50°, taking OB as initial ray as shown in the figure.
Since the sum of these angles is 90°, they together form a right angle.
50
40
Take another pair 60% and 50° and join in the same way. Do they form
complementary angles? Why? Why not? please write in the paper and send me fast​

Answer 1

Answer:

Complementary Angles:

Two angles whose sum is 90° (that is, one right angle) are called complementary angles and one is called the complement of the other.

Here, ∠AOB = 40° and ∠BOC = 50°

Complementary Angles

Therefore, ∠AOB + ∠BOC = 90°

Here, ∠AOB and ∠BOC are called complementary angles.

∠AOB is complement of ∠BOC and ∠BOC is complement of ∠AOB.

Explanation:

For Example:

(i) Angles of measure 60° and 30° are complementary angles because 60° + 30° = 90°

Thus, the complementary angle of 60° is the angle measure 30°. The complementary angle angle of 30° is the angle of measure 60°.

(ii) Complement of 30° is → 90° - 30° = 60°

(iii) Complement of 45° is → 90° - 45° = 45°

(iv) Complement of 55° is → 90° - 55° = 35°

(v) Complement of 75° is → 90° - 75° = 15°

Working rule: To find the complementary angle of a given angle subtract the measure of an angle from 90°.

So, the complementary angle = 90° - the given angle.