Two adjacent angles of a parallelogram are in the ratio 4:5 find their measures. pls give step by step explanation

Two adjacent angles of a parallelogram are in the ratio 4:5 find their

1.	Two adjacent angles of a parallelogram are in the ratio 4:5 find their measures. pls give step by step explanation
Answer» <html><body><p>-<a href="https://interviewquestions.tuteehub.com/tag/step-25533" style="font-weight:bold;" target="_blank" title="Click to know more about STEP">STEP</a> explanation:<a href="https://interviewquestions.tuteehub.com/tag/let-11597" style="font-weight:bold;" target="_blank" title="Click to know more about LET">LET</a> ∠A and ∠B are <a href="https://interviewquestions.tuteehub.com/tag/two-714195" style="font-weight:bold;" target="_blank" title="Click to know more about TWO">TWO</a> 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 [<a href="https://interviewquestions.tuteehub.com/tag/since-644476" style="font-weight:bold;" target="_blank" title="Click to know more about SINCE">SINCE</a> ∠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</p></body></html>