find the complementary angle of each of the following 1) 60'
Answers
Step-by-step explanation:
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Correct Question :-
Find the complementary angle of each of the following.
1. 60°
Answer
The complementary angle of 60° is 30°.
Step-by-step explanation:
To Find :-
- The complementary angle of 60°
★ Solution
Given that,
- One complementary angle = 60°
We know,
Sum of two angles whose sum is 90° is called complementary angle.
∴ 60° + other complementary angle = 90°
Assumption
- Let us assume the other complementary angle as (x)°
∴ 60° + x = 90°
⇒ 60 + x = 90
⇒ x = 90 - 60
⇒ x = 30
Hence,
The complementary angle of 60° is 30°.
V E R I F I C A T I O N :-
- 60 + x = 90
By putting the value of x and simplifying the L.H.S :-
⇒ 60 + x
⇒ 90
Now, L.H.S = R.H.S = 90
Hence, Verified!