This is a quadrilateral and I do not know how to solve this. I know a quadrilateral adds up to 360 degrees.

Question

find the measure of angle G. Angle F=16x-1 angle E is a right angle angle D=105 degrees and angle G=12x-2

Answer 1

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°