Question

If g || h and m∠2 = 110 what is m∠6\

___1_\_2_________________g
░░░3 \ 4
░░░░░\
______5\_6_______________h
░░░░░ 8 \ 9

Answer 1

m∠6 = 110°

Explanation:

We have two parallel lines, g and h, cut by a transversal line.

When this happen, four pair of corresponding angles are formed. Remember that two corresponding angles have the same measure. In the figure the pairs of corresponding angles are:

∠1 and ∠5

∠2 and ∠6

∠3 and ∠8

∠4 and ∠9

Then, m∠6 = m∠2 = 110°

The correspondence is easily seen from-the graph

Answer 2

m<6 = 110

Explanation:

Nice drawing. It's hard to use this editor.

m<2 and m<6 are corresponding angles. Corresponding angles are equal.

∵ m<2 = m<6 = 110