Question

Secondary School Mathematics for Class
208
11. Two lines AB and CD intersect at a point O suc
that ZBOC + ZAOD = 280°, as shown in the figur
Find all the four angles.​

Answer 1

Answer:

angle AOD=angle BOC(vertically opposite angles)

therefore ,

angle AOD+ angle BOC=280

angle AOD= angle BOC = 280/2

angle AOD= angle BOC = 140°

then angle AOC=angle BOD = 180 -140(linear pair)

angle AOC=angle BOD =40°