daniya2222 daniya2222
  • 03-03-2024
  • Mathematics
contestada

in the figure below PQRS is a parallelogram. Find the values of x y and z.​

in the figure below PQRS is a parallelogram Find the values of x y and z class=

Respuesta :

jimrgrant1 jimrgrant1
  • 03-03-2024

Answer:

x = y = 110 , z = 70

Step-by-step explanation:

In a parallelogram

• opposite angles are congruent (equal )

• consecutive angles are supplementary ( sum to 180° )

x and 110 are opposite angles , then

x = 110

x and y are corresponding angles and are congruent , then

y = x = 110

x and z are consecutive angles, then

x + z = 180

110 + z = 180 ( subtract 110 from both sides )

z = 70

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