Question

In the parallelogram RUNS , find the angles x,y ,z.​

Answer 1

Answer:

x = 60°, y = 40° and z = 60°

Step-by-step explanation:

In a triangle the exterior angle is equal to the sum of interior opposite angles.

So, 30° + y = 70°

⇒ y = 70 - 30

⇒ y = 40°

As SN ║ RU, ∠NSU = ∠RUS = 50°   ...   Alternate angles

Sum of all angles of  a triangle is 180°.

SO, in ΔRUN, 30° + (50° + x) + y = 180°

⇒ 30° + 50° + 40° + x = 180°

⇒ 120° + x = 180°

⇒  x = 180° - 120°

⇒ x = 60°

z = x  = 60° ...   Alternate angles as RS ║ UN

So, x = 60°, y = 40° and z = 60°