Question

Find x, y and p is the given figure

Answer 1

In the figure,

∵ Lines are parallel

∴ x = z .........(corresponding angles)

y = 40° ..........(corresponding angles)

But x + 40° + 270° = 360° .......(angles at a point)

⇒ x + 310° = 360°

⇒ x = 360°− 310° = 50°

∴ z = x = 50°

But p + z = 180° .......(linear pair)

⇒ p+ 50° = 180°

⇒ p = 180°− 50° = 130°

Hence x = 50°, y = 40°, z = 50° and p = 130°