Supplementary of angle is six times it's complementary find angle.
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Answered by
58
AnswEr :
Let the angle be x
✯ Complementary Angle : A pair of angles whose sum is 90°
So, Complement of x = (90 - x)
✯ Supplementary Angle : A pair of angles whose sum is 180°
So, Supplement of x = (180 - x)
A.T.Q.
➟ (180 - x) = 6(90 - x)
➟ 180 - x = 540 - 6x
➟ 6x - x = 540 - 180
➟ 5x = 360
➟ x = 72°
Answered by
0
ANSWER:-
Given:
Supplementary of angle is six times it's complementary.
To find:
Find angles.
Solution:
⏺️Supplementary means= 180°
⏺️Complementary means= 90°
Let the supplementary be = (180°-x)
Let the complementary be =(90° -x)
According to the question;
=) 180° -x= 6(90° -x)
=) 180° -x = 540° -6x
=) 180° - 540° =-6x +x
=) -360° = -5x
=) x= 360°/5
=) x= 72°
So,
Supplementary Angle= 180° - 72°
=) 108°
Complementary angle= 90° - 72°
=) 18°
Hope it helps ☺️
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