Question

In the figure, lines &l and m are parallel to each
other Find the value of x, y and z

Answer 1

Answer:

y = 44°

x =44°

z = 136° linear pair

Answer 2

GIVEN :-

• Line l and m are parallel (||) to each other.
• ∠1 = 44°.

TO FIND :-

• The value of of x, y and z.

SOLUTION :-

From the question we have,

★ l || m .

→ ∠1 + x = 180°. [ co - interior angles ]

→ 44° + x = 180°

→ x = 180° - 44°

→ x = 136°.

Hence the required value of x to this question is 136°.

Now,

→ x = y = 136°. [ vertically opposite angles ]

→ y = 136°.

Hence the required value of y to this question is 136°.

Now,

[1]

→ ∠z + ∠1 = 180°. [ linear pair ]

→ ∠z + 44° = 180°

→ ∠z = 180° - 44°

→ ∠z = 136°.

Hence the required value of z to this question is 136°.

[2]

→ x = z = 136°. [ alternate interior angles ]

→ z = 136°.

Hence the required value of z to this question is 136°.