Question

!!!!!!HELP!!!!!! WORTH 22 POINTS.  OG and OH divide straight angle FOJ into three angles whose measures are in the ratio 4: 3: 2. Find the measurement of angle FOG

Answer 1

(all the mentions to FOJ, FOG, GOH, HOJ refer to the angles)

FOJ = 180

FOJ = FOG + GOH + HOJ [make the drawing to see this clearly]

FOG = 2 (HOJ)

GOH = 3 (HOJ)/2

HOJ = HOJ

2 (HOJ) + 3(HOJ)/2 + HOJ = 180

4.5 HOJ = 180

HOJ = 180/4.5

HOJ = 40

FOG = 2(40) = 80

Answer: angle FOG measures 80 degrees.