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let the angles be x and 90-x
2x = 3 ( 90-x )
2x= 270-3x
270 = 2x +3x
270= 5 x
270/5 = x
54= x
so the angles are 54 and 36
Answered by
32
Answer:
C ; 36°
Step-by-step explanation:
First , the question arises that what are complementary angles??.
The angles whose sum is 90° are called complementary angles....
So, here
Let 1st angle = x°
Let 2nd angle = 3x° (GIVEN)
So, ATQ:-
1st angle = 2x°
2x + 3x = 90°
5x = 90°
x = 90/5
x = 18°
So, 1st angle = 2x
2nd angle = 3x
Hence, 1st angle = 2(18) = 36°
So, the value of smaller angle is 36°
______________________
CHECK:-
1st angle = 36°
2nd angle = 3(18) = 54°
Sum = 90°
36 + 54 = 90°
90° = 90°
So, the smaller anally angle is 36°.
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