Question

The measure of the complementary angle of an angle with
measure 40 is
(a) 40
(b) 20 (c) 140 (d) 50​

Answer 1

Answer:

50(d)

Step-by-step explanation:

complementary angles sum of angles equal to 90°

so 90- 40= 50

Answer 2

The measure of the complementary angle of 40° is 50°

Given :

The angle 40°

To find :

The measure of the complementary angle of 40° is

(a) 40°

(b) 20°

(c) 140°

(d) 50°

Solution :

Step 1 of 2 :

Write down the given angle

Here the given angle is 40°

Step 2 of 2 :

Find measure of the complementary angle of 40°

We know that two angles are said to be complementary if sum of the angles is 90°

Here the given angle = 40°

Let x be the measure of the complementary angle of 40°

So by the given condition

x + 40° = 90°

⇒ x = 90° - 40°

⇒ x = 50°

So the measure of the complementary angle of 40° is 50°

Hence the correct option is (d) 50°

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