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In parallelogram PQRS,∠P= x-y & ∠Z= x+y, then x=____ |
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Answer» Step-by-step explanation: PQRS is a parallelogram We know that, sum of adjacent angles of parallelogram is 180 o . ∴ ∠QPS+∠PSR=180 o
⇒ x+110 o =180 o
⇒ x=70 o
We know that, opposite angles of a parallelogram are equal. ∴ x=y=70 o and z=110 o
⇒ ∠PSR+∠PST=180 o [ LINEAR pair ] ⇒ 110 o +w=180 o
⇒ w=70 o
We GET, x=70 o ,y=70 o ,z=110 o and w=70 o PQRS is a parallelogram We know that, sum of adjacent angles of parallelogram is 180 o . ∴ ∠QPS+∠PSR=180 o
⇒ x+110 o =180 o
⇒ x=70 o
We know that, opposite angles of a parallelogram are equal. ∴ x=y=70 o and z=110 o
⇒ ∠PSR+∠PST=180 o [ Linear pair ] ⇒ 110 o +w=180 o
⇒ w=70 o
We get, x=70 o ,y=70 o ,z=110 o and w=70 o
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