Question

Secondary School Mathematics for Class 9
Iwo lines AB and CD intersect at a point O such
Chat ZBOC + ZAOD = 280º, as shown in the figure.
Find all the four angles.​

Answer 1

Step-by-step explanation:

AOD+BOC=280

BUT AOD=BOC(VERTICALLY OPPOSITE ANGLES)

AOD+AOD=280

2AOD=280

AOD=280/2

AOD=140°

BOC=140°

ALSO, AOC=BOD(VERTICALLY OPPOSITE ANGLES)

BUT, AOC+BOC+BOD+AOD=360(COMPLETE ANGLE)

AOC+BOD+280=360

AOC+BOD=360-280

AOC+BOD=80°

AOC+AOC=80

2AOC=80

A

AOC=80/2

AOC=40°

BOD=40°

THEREFORE, ALL THE ANGLES ARE 140°,140°,40°,40°.

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