Question

PQRS is a parallelogram. Find the values of the unknowns x, y, z.​

Answer 1

we know that ,

i. opposite angles of a parallelogram are equal

ii. adjacent angle are equal

iii. corresponding angles are equal

so, y = 180°-70° (adjacent angle)

=> y = 110°

so, x = y (opposite Angle)

=> x = 110°

so, z = x (corresponding angles)

=> z= 110°

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Answer 2

Question:-

PQRS is a parallelogram. Find the values of the unknowns x, y, z.​

To find :-

The values of x , y and z

Answer:

THE VALUE OF X IS 110

THE VALUE OF Y IS 110

THE VALUE OF Z IS 110

Step-by-step explanation:

PARALLELOGRAM OPPOSITE ANGLES ARE EQUAL

LET Q BE Z + A

SO ∠S = ∠Q

70 + 70 + Z

FROM LINEAR PAIR

70+ Z = 180

Z = 180 - 70

Z = 110

THROUGH ALTERNATE INTERIOR ANGLES

∠Z = ∠Y

SO, ∠Y = 110

IN PARALLELOGRAM OPPOSITE ANGLES ARE EQUAL

SO, ∠Y = ∠X

∠X = 110

THE VALUE OF X IS 110

THE VALUE OF Y IS 110

THE VALUE OF Z IS 110