Find the measure of an angle,which is one-eig | vedclass

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(A) Let the measure of the angle be $x^o$.Two angles are supplementary if their sum is $180^o$.Therefore,the supplementary angle of $x^o$ is $(180 - x

Vedclass · Accepted Answer

$20$

Vedclass · Answer

(A) Let the measure of the angle be $x^o$.Two angles are supplementary if their sum is $180^o$.Therefore,the supplementary angle of $x^o$ is $(180 - x)^o$.According to the problem,the angle is one-eighth of its supplementary angle:$x = \frac{1}{8}(180 - x)$Multiply both sides by $8$:$8x = 180 - x$Add $x$ to both sides:$9x = 180$Divide by $9$:$x = 20$Thus,the measure of the angle is $20^o$.

Find the measure of an angle,which is one-eighth of the measure of its supplementary angle. (in $^o$)

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