PQRS is a parallelogram. If angle Q is equal to 50 degrees and angle PRS is equal to 70 degrees find angle Q R P and s p r
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Two pairs of opposite angles are equal in measure. The diagonals bisect each other.
Apply may be this will work
Apply may be this will work
Answered by
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<Q=<S (alternative interior angle)
<Q=50,
So <S=50
In parallelogram PQRS
<S+<R+<Q+<P=360
<S+<R+100=360
<S+<R=260
Since <S =<R
<S=<R=260/2=130
<R=<QRP+<PRS
130=<QRP+70
__________
<QRP=60°
"""""""""""""""""
<SPR=<QRP
__________
<SPR=60
"""""""""""""""""
<Q=50,
So <S=50
In parallelogram PQRS
<S+<R+<Q+<P=360
<S+<R+100=360
<S+<R=260
Since <S =<R
<S=<R=260/2=130
<R=<QRP+<PRS
130=<QRP+70
__________
<QRP=60°
"""""""""""""""""
<SPR=<QRP
__________
<SPR=60
"""""""""""""""""
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