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Questions  >>  Olympiad-Math  >>  Class 7  >>  Lines and Angles
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Q)

Two angles form a linear pair. the measure of one angle is four times the measure of the other angle. find the measure of the smaller angle


$( A ) 40^{\circ} \\ ( B ) 30^{\circ} \\ ( C ) 36^{\circ} \\ ( D ) 46^{\circ}$

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A)
Linear Pair = $180^{\circ}$
Let One angle = x
other angle = 4x
$\therefore$ x+4x = 180
5x = 180
x= $\large\frac{180}{5}$
x = $36^{\circ}$
180 - 36 = $144^{\circ}$
Hence the smaller angle is $36^{\circ}$
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