###### Advertisements

###### Advertisements

In the below fig, if l || m || n and `∠`1 = 60°, find `∠`2.

###### Advertisements

#### Solution

Since l parallel to m and 𝑝 is the transversal

∴Given: *l *|| *m *|| *n*, `∠`1 = 60°

To find `∠`2

`∠`1 = `∠`3 = 60° [Corresponding angles]

Now,

`∠`3 and `∠`4 are linear pair of angles

`∠`3 + `∠`4 = 180°

60° + `∠`4 = 180°

`∠`4 = 180° - 60°

`∠`4 = 120°

Also, *m *|| *n *and *P *is the transversal

∴`∠`4 = Ð2 =120° [Alternative interior angle]

Hence `∠`2 =120°

#### APPEARS IN

#### RELATED QUESTIONS

In the below fig, AB || CD || EF and GH || KL. Find `∠`HKL

If two straight lines are perpendicular to the same line, prove that they are parallel to each

other.

In the below fig, arms BA and BC of `∠`ABC are respectively parallel to arms ED and EF of

`∠`DEF. Prove that `∠`ABC = ∠DEF.

In the given figure, if l_{1} || l_{2}, what is the value of y?

In the given figure, if l_{1} || l_{2} and l_{3} || l_{4}, what is y in terms of x?

In the given figure, if lines l and m are parallel lines, then x =

In the given figure, if lines l and m are parallel, then the value of x is

In the given figure, If line segment AB is parallel to the line segment CD, what is the value of y?

In the figure, BA || ED and BC || EF. Show that ∠ABC = ∠DEF

In the figure, BA || ED and BC || EF. Show that ∠ABC + ∠DEF = 180°