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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Step-by-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=180o
Given that adjacent angles of a parallelogram are in the ratio 4:5 and let that ratio be multiple of x
∠A+∠B=180o
4x+5x=180o
9x=180o
x=180/9
x=20o
∠A=4x=4×20=80o
∠B=5x=5×20=100o
Also ∠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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Answer:
nahi pata
Step-by-step explanation:
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