Question

Lines AB and CD and are parallel. Find the measures of the three angles in triangle ABF.

Answer 1

Answer: ∠B = 42° ∠A = 23° ∠F = 115°

Explanation:

∠B≅∠C alternate interior angles 42°

∠CDF is supplementary to ∠CDE,

so m∠CDF = 23° and ∠FAB≅∠CDF so m∠FAB= 23°

also ∠A ≅ CDE corresponding angles 157° ∠FAB is suplementary to ∠A

so 180 - 157 = 23 gives the m∠FAB

The sum of the angles of a triangle is 180°, so m∠AFB = 180 -(23 +42)

180- 65 = 115 = m∠F