Question

Find m∠4, 5, 6, 7, 8 (see picture)

Answer 1

see explanation

Explanation:

∠3 = 38° ( alternate to ∠BGA )

∠4 = ∠3 = 38° ( congruent angles )

∠BCF = 180° - (38 + 32)° ← sum of angles in a triangle )

= 180° - 70° = 110°, thus

∠5 = 110° ( vertical to ∠BCF

∠6 = ∠7 ( base angles of isosceles ΔCDE ), thus

∠6 = ∠7 = 0.5(180 - 110)° = 0.5 × 70 = 35°

∠8 = 90° ( marked right angle )

Thus ∠4 = 38°, ∠5 = 110°, ∠6 = ∠7 = 35° and ∠8 = 90°