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Questions  >>  Olympiad-Math  >>  Class 7  >>  Lines and Angles
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If angles of measures $(x — 2)^{\circ}$ and $(2x + 5)^{\circ}$ are a pair of supplementary angles. Find x.


$( A ) 51^{\circ} \\ ( B ) 59^{\circ} \\ ( C ) 61^{\circ} \\ ( D ) 69^{\circ}$

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  • Two angles are supplementary when their sum is $180^{\circ}$
$x - 2 + 2x + 5 = 180$
$3x + 3 = 180$
$ 3x = 180 - 3 = 177$
$x = \frac{177}{3} = 59$
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