Find x, y and p is the given figure - Vidyadip

Question

Find $x, y$ and $p$ is the given figure

✓

Answer

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°

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