Find the complement of each of the following angles
Asked by admin @ in English viewed by 269 People
1. Find the complement of each of the following angles.
a) 45° b) 32° c) 46°d) 28°Please do any one step by step
Answered by admin @
Explanation:
When the sum of two angles is equal to 90o, they are called complementary angles. In this case, both angles are called complementary to each others. For example 30o and 60o, 40o and 50o, 20o and 70o, etc. are complementary angle since their sum is equal to 90o.
complementary angles
Sum of angles in fig (i) = 70° + 20° = 90°
Hence, they are complementary.
Sum of angles in fig (ii) = 75° + 25° = 100°> 90°
Hence, they are not complementary.
Complementary of
45
º
=
90
º
−
45
º
=
45
º
Complementary of
65
º
=
90
º
−
65
º
=
25
º
Complementary of
41
º
=
90
º
−
41
º
=
49
º
Complementary of
54
º
=
90
º
−
54
º
=
36
º
45°
Answer: Let us assume the required complementary angle is x
So,
45
°
+
x
=
90
°
Or,
x
=
90
°
−
45
°
=
45
°
Hence, the required complementary angle = 45°
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