In the given figure, the lines, p, q and r are parallel to one another

1.	In the given figure, the lines, p, q and r are parallel to one another. Find the values of a, b, c, x, y and z.
Answer» From given figure . y = 115° {∵ Corresponding angles} ⇒ x + y = 180° {linear pair} ⇒ x = 180°- y = 180° – 115° = 65° ⇒ z = x°= 65° { ∵ Corresponding angles} c° – 70° a° + c° = 180° {linear pair} ⇒ a° + 70° = 180° ⇒ a° = 180° – 70° = 110° b° = c° = 70° {Vertically opposite angles} So, a = 110°, b = 70°, c = 70°, x = 65°, y = 115°, z = 65°

In the given figure, the lines, p, q and r are parallel to one another. Find the values of a, b, c, x, y and z.

Answer»

From given figure . y = 115°

{∵ Corresponding angles}

⇒ x + y = 180° {linear pair}

⇒ x = 180°- y = 180° – 115° = 65°

⇒ z = x°= 65° { ∵ Corresponding angles}

c° – 70°

a° + c° = 180° {linear pair}

⇒ a° + 70° = 180°

⇒ a° = 180° – 70° = 110°

b° = c° = 70°

{Vertically opposite angles}

So, a = 110°, b = 70°, c = 70°, x = 65°,

y = 115°, z = 65°