Question

I need help please I would much appreciate someone’s help I only need help with the last section not 1 through 6 the bottom part.​

Answer 1

#5: 60

#6:55

#7:70

#8:55

11.81

Explanation:

#5

∠CFD=60 (all the angles in an equilateral triangle are 60)

#6

∠AFD=150=∠AFB+∠BFC+∠CFD

∴150=∠AFB+35+60

∴∠AFB=55

#7

An isosceles triangle has one unique vertex angle and two equal base angles. All the angles in a triangle add up to 180. We know the base angles (55), so:

180 = ∠ABF + 2(55)

∴∠ABF = 70

#8

∠A=∠AFB = 55 (base angles of an isosceles triangle)

11. An isosceles triangle has one unique vertex angle and two equal base angles. All the angles in a triangle add up to 180. Vertex angle is 18, so the sum of both bases is 180-18=162. Therefore, each base angle is 81.