Question

find the measure of each of angles BOC,AOC andAOD

Answer 1

Angle BOC =

COB + BOD =180 ( LINEAR PAIR)

COB = 180 - 40 ( BOD = 40 DEGREE GIVEN)

COB = 140 DEGREE.

ANGLE AOC = ANGLE BOD

AOC = 40 DEGREE

ANGLE AOD


ANGLE AOD + ANGLE BOC = 180 DEGREE
( LINEAR PAIR OF ANGLES)

AOD = 180-40

AOD = 140. DEGREE



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Answer 2

In the fig.
Angle BOD+angle BOC=180°
angle BOC=180°-Angle BOD
BOC=180°-40°
=140°
AOC=BOD(Vertically opposite angles)
AOC=40°
AOD=BOC(Vertically opposite angles)
AOD=140°