two complementary angles are in the ratio 2:3, find the angles
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Answer:
FIRST COMPLEMENTARY ANGLE=18degree
SECOND COMPLEMENTARY ANGLE=72 DEGREE
Step-by-step explanation:
FRIEND,
FIRST OF ALL, YOU NEED TO KNOW WHAT IS A COMPLEMENTARY ANGLE,
SO,
COMPLEMENTARY ANGLE MEANS A ANGLE WHICH IS LESS THAN 90degree
SO,
RATIO GIVEN = 2:3
LET THE COMMON RATIO BE x
SO,
FIRST COMPLEMENTARY ANGLE=2x
SECOND COMPLEMENTARY ANGLE = 90-2x
SO,
A.T.Q.,
2/3=2x/(90-2x)
2(90-2x)=3*2x
180-4x=6x
180=10x
x=180/10
x=18 degree
90-2x=72 degree
SO,
FIRST COMPLEMENTARY ANGLE=18 degree
SECOND COMPLEMENTARY ANGLE = 72 degree
I HOPE YOU UNDERSTOOD THE QUESTION
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