Parallel Lines Exercise

1.

In the diagram on the left:

a. Name a pair of alternate angles.

b. Name the angle corresponding to g.

c. Name a pair of co-interior angles.

d. Name an angle corresponding to c.

e. Name an angle alternate to b.

 

 

 

2. Find the size of the angles marked by letters and give reasons from the list below.

(Adj. ∠ s on st. line) (ext ∠ of Δ = sum int. opp.∠ s)
(Vert. opp. ∠ s ) (corr. ∠ s on lines)
(∠ sum of Δ ) (alt. ∠ s on  lines)
(base ∠ s of isos. Δ ) (coint. ∠ s on  lines)

There may be several ways to arrive at the solutions.

 

a.

       

b.

c.

d.

e.

f.