The measures of two adjacent angles of a parallelogram are in the ratio 3.5 :5.5. Find the measure of angles of the parallelogram
Answers
Answer:
Let two adjacent angles A and B of ∥gm ABCD be 3x and 2x respectively.
Since the adjacent angles of a parallelogram are supplementary.
∠A+∠B=180
o
⇒3x+2x=180
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⇒5x=180
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⇒x=
5
180
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=36
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∴∠3×36
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=108
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and, ∠B=2×36
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=72
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Since the opposite angles are equal in a parallelgram, therefore, ∠C=∠A=108
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and ∠D=∠B=72
o
Hence, ∠A=108
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,∠B=72
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,∠C=108
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and ∠D=72
o
Answer:
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