
Byron S. answered 11/20/14
Tutor
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Math and Science Tutor with an Engineering Background
Hi Nathan,
The sum of the four angles of a quadrilateral is 360°, so you know that
D + E + F + G = 360
105 + 90 + (16x-1) + (12x-2) = 360
Combining like terms, you get
28x + 192 = 360
28x = 168
x = 6
You're asked to find angle G,
G = 12x - 2
G = 12(6) - 2
G = 72-2 = 70°
Nathan S.
11/20/14