Q:

Need help with Geometry

Accepted Solution

A:
Answer:Please look down belowStep-by-step explanation:∠1 + 69 + 47 = 180 (because straight line)∠1 = 180 - 116∠1 = 64∠2 + ∠1 + 63 = 180 (because triangle)∠2 + 64 + 63 = 180∠2 = 180 - 127∠2 = 53∠3 + ∠1 = 180 (because straight line)∠3 + 64 = 180∠3 = 116∠5 = ∠4 (given)∠5 + ∠4 + ∠3 = 180Denote ∠5 and ∠4 as x, so 2x2x + ∠3 = 1802x + 116 = 1802x = 64x = 32∠5 = 32, ∠4 = 32∠6 + 136 = 180 (because straight line)∠6 = 44∠7 + ∠6 + 47 = 180 (because triangle)∠7 + 44 + 47 = 180∠7 = 180 - 91∠7 = 89