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=](https://us-static.z-dn.net/files/d44/fb84d8a4de9fc4fd589c78b9eaa4043b.jpg)
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