Question

Given l||m and m∠1 = 60°, select all angles that are also equal to 60°.

2
3
4
5
6
7
8

Answer 1

answers are 2,3,4. This is due to opposite angles and angle pairs due to a transversal with a parallel

Answer 2

The angles whose equals to 60 ° are ∠1 , ∠2 , ∠3 , ∠4 .

Explanation:

As given

l and m are the parallel lines .

m ∠ 1 = 60 °

Thus

∠1 = ∠2 = 60 °

(As l and m are the parallel lines and ∠ 1 and ∠2 are the vertically opposite angles .)

As

∠2 = ∠3

(As l and m are the parallel lines and ∠2 and ∠3 are the alternate interior angles. )

As

∠3 = ∠4 = 60°

( As l and m are the parallel lines and ∠ 3 and ∠4 are the vertically opposite angles )

Therefore the angles whose equals to 60 ° are ∠1 , ∠2 , ∠3 , ∠4 .