GEOMETRY
1. Find the complement and supplement of the angle 25°30'24".
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The supplementary angle is 115 degrees. 1/5 of 115 is 23, 23 +2 = 25. 25 is the complement of 65. So the original supplement Is 180-65.a represents the angle
180 - a represents the supplement of the angle
90 - (180 - a) represents the complement of the supplement
90 - (180 - a) = 2 + (1/5)a equation
90 - 180 + a = 2 + 0.2a distribute
-90 + a = 2 + 0.2a combine like terms
-92 + a = 0.2a subtract 2 from both sides
-92 = -0.8a subtract a from both sides
115 = a divide both sides by -0.8
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