SOLUTION: one angle of a triangle exceeds another by 23*(degrees). The third is 6*(degrees) less than the sum of the others. FInd the measure of the angles.
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-> SOLUTION: one angle of a triangle exceeds another by 23*(degrees). The third is 6*(degrees) less than the sum of the others. FInd the measure of the angles.
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Question 71108: one angle of a triangle exceeds another by 23*(degrees). The third is 6*(degrees) less than the sum of the others. FInd the measure of the angles. Answer by checkley75(3666) (Show Source):
You can put this solution on YOUR website! X+(X+23)+(X+X+23-6)=180
X+X+23+X+X+23-6=180
4X=180-46+6
4X=140
X=140/4
X=35 DEGREES IS THE SMALLER ANGLE
35+23=58 FOR THE MIDDLE ANGLE &
35+58-6=87 FOR THE LARGER ANGLE
PROOF
35+(35+23)+(35+35+23-6)=180
35+58+87=180
180=180
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