if a pair of supplementary angles are in the ratio 4:5 then find the smaller angle.
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Answer:
Let two angles be 4x and 5x
Sum of supplementary angles is 180
o
∴4x+5x=180
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9x=180
o
x=
9
180
=20
o
So, one angle = 4x=4×20=80
o
Another angle = 5x=5×20=100
o
Larger of two angle is 100
o
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