In the figure \(\overrightarrow {MN}|| \overrightarrow {KL}\) and \(\

1.	In the figure \(\overrightarrow {MN}\|\| \overrightarrow {KL}\) and \(\overrightarrow {MK}\) is transversal. Find x.
Answer» From the figure, \(\overrightarrow {MN}\|\| \overrightarrow {KL}\) and \(\overrightarrow {MK}\) is transversal. ∠M = 2x and ∠K = x + 30° ∠M + ∠K = 180° (Q co-interior angles are supplementary) ⇒ 2x + x + 30° = 180° ⇒ 3x + 30° = 180° ⇒ 3x = 180° – 30° ⇒ 3x = 150° ⇒ x = 150° /3 ∴ x = 50°

In the figure \(\overrightarrow {MN}|| \overrightarrow {KL}\) and \(\overrightarrow {MK}\) is transversal. Find x.

Answer»

From the figure, \(\overrightarrow {MN}|| \overrightarrow {KL}\) and \(\overrightarrow {MK}\) is transversal.

∠M = 2x and ∠K = x + 30°

∠M + ∠K = 180° (Q co-interior angles are supplementary)

⇒ 2x + x + 30° = 180°

⇒ 3x + 30° = 180°

⇒ 3x = 180° – 30°

⇒ 3x = 150°

⇒ x = 150° /3

∴ x = 50°