Question

The adjacent figure HOPE
is of parallelogram. Find
the angle measure x,y and a
​

Answer 1

Answer:

x = 110°

y = 40°

z = 30°

Step-by-step explanation:

∠y = 40° (alternate interior angles)

∠y + ∠z = 70° (Exterior angle property)

∠z = 30°

40 + ∠Z + ∠x = 180° (Co-interior angles)

70 + ∠x = 180°

∠x = 110°

Answer 2

Answer:

to find

x = 180-70 ( linear pair)

  = 110

y = 40 ( alternate interior angles are equal)

z =

if we only take triangle = triangle HOP

IF

<H = Z

<O = 110

<P = 40

sum of all angle in a triangle = 180

Z + 110 + 40 = 180

Z + 150 = 180

Z + 180 - 150

Z = 30

so,

x = 110

y = 40

z = 30