Question 223358
Angle A is one fourth as large as its supplement, angle B. Find the measurement of each angle


Since angle A is {{{1/4}}} the measure of angle B, its supplement, then we'll have:  {{{A = (1/4)*(180 - A)}}}


4A = 180 - A ------ Multiplying each side of equation by LCD, 4


5A = 180


A  =  {{{180/5 = 36^o}}}


Therefore, the measure of the angle, or A is: {{{highlight_green(36^o)}}} while the measure of its supplement is {{{highlight_green(144^o) {{{(180^o - 36^o}}}

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Check
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Measure of the angle's supplement: {{{144^o}}}


Measure of the angle: {{{36^o}}}


Angle, {{{36^o}}} is {{{1/4}}} of its supplement, or {{{144^o}}}


{{{(1/4)*144 = 36^o}}} (TRUE)