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Two adjacent angles of a parallelogram are in the ratio 4:5 find their measures. pls give step by step explanation |
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Answer» -STEP explanation:LET ∠A and ∠B are TWO adjacent angles.But we know that sum of adjacent angles of a parallelogram is 180o∠A+∠B=180oGiven that adjacent angles of a parallelogram are in the ratio 4:5 and let that ratio be multiple of x ∠A+∠B=180o4x+5x=180o9x=180ox=180/9x=20o∠A=4x=4×20=80o∠B=5x=5×20=100oAlso ∠B+∠C=180o [SINCE ∠B and ∠C are adjacent angles]100o+∠C=180o∠C=180o−100o=80oNow, ∠C+∠D=180o [Since ∠C and ∠D are adjacent angles]80o+∠D=180o∠D=180o−80o=100o |
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