11. Two lines AB and CD intersect at a point Osuch that ZBOC + ZAOD =

1.	11. Two lines AB and CD intersect at a point Osuch that ZBOC + ZAOD = 280°, as shownin the figure. Find all the four angles.Nice
Answer» angle BOC+ angle AOD = 280 LET BOC AND AOD = x x + x = 280 2x = 280 x = 140 for angle BOD, 180-140 = 40(ADJACENT ANGLES) COA = BOD = 40 (VERTICALLY OPPOSITE ANGLE) angle coa = 40 = angle bod =40 angle boc = 140 = angle aod =140

11. Two lines AB and CD intersect at a point Osuch that ZBOC + ZAOD = 280°, as shownin the figure. Find all the four angles.Nice

Answer»

angle BOC+ angle AOD = 280

LET BOC AND AOD = x

x + x = 280

2x = 280

x = 140

for angle BOD,

180-140 = 40(ADJACENT ANGLES)

COA = BOD = 40 (VERTICALLY OPPOSITE ANGLE)

angle coa = 40 = angle bod =40

angle boc = 140 = angle aod =140