Question

AB || CD, ∠ACP = 50°.

∴ find ∠DAB.

Options

• 50°

• 130°

• 25°

• 65°

Answer 1

25°

Explanation:

The diagram shows AC = CD isosceles triangle ACD. 

Since AB || CD, the angle ACD is supplementary to ∠ACP.

So, ∠ACD = 180° – 50°

= 130° 

In triangle ACD the remaining two angles sum to 50° and because AC = CD they are equal.

So, each = 25°. 

Thus, ∠DAB = 25°.