Question

(ii) Find x and y in the parallelogram PQRS
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Answer 1

Answer:

ang QPR=PRS. ( ALTERNATIVE ANG.

56= 2X +8

X = 24

NOW,

ANGLE , SPR = X+12

SPR= 24+12= 36

NOW,

SPR=PRQ. ( ALTERNATE ANGLE

SO, PRS= 36.

NOW, FOR ∆PQR

ANGLE.{ QPR+PRQ+PQR} = 180. { ANGLE SUM PROPERTY)

THEREFORE,. 56+ 36+ Y = 180

Y = 88

hope it helps

Answer 2

Answer:

x=24 and y=88

Step-by-step explanation:

in parallelogram

angleQPR = angleSRP

56°=2x+8

2x=56-8

x=48÷2

x=24

put x=24 in angleSPR

x+12=24+12

angleSPR=36°

in parallelogram opposite angles are same.

angleQPS = angleSPR+ angleQPR

angleQPS=56+36=92°

in parallelogram

anglePQR=y°

angleQPS+ anglePSR+ angleSRQ+ angleRQP=360°

in parallelogram opposite angles are same

: 2 angleQPS + 2 anglePQR =360°

2×92+2× anglePQR =360°

184+2× anglePQR = 360°

2anglePQR=360-184°

anglePQR=176÷2=88°

x=24 and y=88

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