The adjacent figure HOPW is a parallelogram. Find the angle measures x, y and z. State the properties you use to find them.

Here ∠HOP + 70° = 180° [Angles of linear pair]
∠HOP=180°-70° = 180°
and ∠E= ∠HOP [Opposite angles of a ||ᵍᵐare equal]
⇒ x=100°
∠PHE= ∠HPO [Alternate angles]
∴ y=40°
Now ∠EHO= ∠O=70° [Corresponding angles]
⇒40°+Z=70°
⇒Z=70°-40° = 30°
Hence, x=110°,y=40° and z=30°

Class 8 Maths Chapter 3 Exercise 3.3 Solution in Video

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