The supplementary angles are in the ratio 6 : 9 then the measure of smaller angle is
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The supplementary angles are in the ratio 6:9.
Let the angles be 6x and 9x.
Since they are supplementary, their sum is 180°.
6x+9x=180
15x=180
x=180÷15
x=12°.
Now, substitute the value of x in the smaller angle, that is, 6x.
6x⇒6×12⇒72°.
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6x and 9x find them which one is smaller that is your answer
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