Question

in figure l, m and n are Parallel Lines intersected by a transversal part X, Y and Z respectively

Answer 1

Heyy mate here is your answer that is X=130(linear pair)
Angle 4=130(linear pair)
y=angle 4 (alternate interior angle)
y=z(corresponding angle)
z=130...
Hope it will help you dear

Answer 2

Question:

l, m and n are parallel lines intersected by a transversal p at X, Y and Z respectively. Find $\angle$1, $\angle$2 and $\angle$3. Give reasons.

Answer:

Since parallel lines l and n are intersected by the transversal p at X and Z respectively.

•°• $\angle$2 = $\angle$4 [corresponding angles]

$\implies$ $\angle$2 = 180° - 50°

$\implies$ $\angle$2 = 130°

★ Since $\angle$ and $\angle$3 are vertically opposite angles

•°• $\angle$3 = $\angle$2

$\implies$ $\angle$3 = 130°

★ Since parallel lines m and n are intersected by the transversal p at Y and Z respectively.

•°• $\angle$1 = $\angle$ [alternate interior angles]

$\implies$ $\angle$1 = 130°

Thus, $\angle$1 = $\angle$2 = $\angle$3 = 130°