Find the measure of x,y,z in each parallelogram
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Answer:
hope it helps
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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