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geometry

the measure of <1 is five less than four times the measure of <2. If <1 and <2 form a linear pair, what are their measures.
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Answer by: Ganesha

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angle1=5 less than 4times angle2 by data==>
angle1=4angle2-5------------(1).
angle1+angle2 =180---------(2).,as  by data the  2 angles are a  linear pair.
(1)-(2)  eliminates angle1 giving,
-angle2 = 4angle2-5-180==>
-angle2-4angle2=-185==>
5angle2 =185==>
angle2 =185/5 =37 deg. Therefore, angle 1=180-37 = 143 deg.
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