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Opposite angle in a parallelogram are equal Find the measures of x,y and zanswer the question .please |
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Answer» Answer: I think this answer is right CHEAK yourself()Step-by-step explanation: We know that adjacent angles of a PARALLELOGRAM ABCD are supplementary. ∴∠A+z=180 ∘
⇒z=180 ∘ −120 ∘ =60 ∘
We We know that OPPOSITE angles of a parallelogram ABCD are equal. ∴z=∠CDA=60 ∘ and ∠BAD=∠BCD=120 ∘
∠B=z+a=180 ∘ (linear pair) ⇒a=180 ∘ −z=180 ∘ −60 ∘ =120 ∘
⇒x+∠DCB=180 ∘ (linear pair) ⇒x=180 ∘ −∠DCB=180 ∘ −120 ∘ =60 ∘
⇒y+∠CDA=180 ∘ (linear pair) ⇒y=180 ∘ −∠CDA=180 ∘ −60 ∘ =120 ∘
∴a=120 ∘ ,z=60 ∘ ,x=60 ∘ ,y=120 ∘ |
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