Question

opposite angle in a parallelogram are equal Find the measures of x,y and z

answer the question .please

Answer 1

Answer:

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Step-by-step explanation:

We know that adjacent angles of a parallelogram ABCD are supplementary.

∴∠A+z=180

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⇒z=180

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−120

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=60

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We We know that opposite angles of a parallelogram ABCD are equal.

∴z=∠CDA=60

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and ∠BAD=∠BCD=120

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∠B=z+a=180

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(linear pair)

⇒a=180

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−z=180

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−60

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=120

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⇒x+∠DCB=180

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(linear pair)

⇒x=180

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−∠DCB=180

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−120

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=60

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⇒y+∠CDA=180

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(linear pair)

⇒y=180

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−∠CDA=180

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−60

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=120

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∴a=120

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,z=60

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,x=60

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,y=120

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