Question

I need help with this geometry problem (69 points)

Answer 1

∠1 = 77, ∠2 = 103, ∠3 = 41, ∠4 = 139, ∠5 = 41, ∠6 = 92, ∠7 = 47, ∠8 = 77

∠9 = 103, ∠10 = 77, ∠11 = 56, ∠12 = 47, ∠13 = 77, ∠14 = 103, ∠15 = 41,

∠16 = 139, ∠17 = 41, ∠18 = 139

Explanation:

∠10 = 77

∠10 + ∠14 = 180

=> ∠14 = 180 - 77 = 103

∠14 = ∠9 = ∠2 = 103

∠10 = ∠13 = ∠8 = ∠1 = 77

∠7 = 47

∠7 + ∠8 + ∠11 = 180

∠11 = 180 - ∠7 - ∠8 = 180 - 47 - 77 = 56

∠14 = ∠11 + ∠12

=> ∠12 = ∠14 - ∠11 = 103 - 56 = 47

or ∠7 = ∠12 = 47

∠16 = 139

∠16 = ∠18 = 139

∠15 = ∠17 = 180 - ∠16 = 180 - 139 = 41

∠15 = ∠3 = ∠5 = 41

∠12 + ∠6 + ∠15 = 180

∠6 = 180 - 47 - 41 = 92

∠4 = ∠6 + ∠7 = 92 + 47 = 139