Question

Draw two parallel lines and a transversal. Mark two alternate interior angles G and H. If they are supplementary, what is the measure of each angle?

Answer 1

l and m are parallel lines and n is the transversal.

∠G and ∠H are alternate interior angles.

∠G = ∠H  ...(1)

Given ∠G and ∠G are Supplementary

i.e ∠G + ∠H = 180°

∠H + ∠H = 180°  ...(from (1))

2∠H = 180°

∠H = `(180^circ)/2`

∠H = 90°

∠G = ∠H = 90°