Question

the measure of one angle is given in following figure.find all other angles

Answer 1

for fig 1.
angledoc=angle aob(vertically opposite angles)
angle doc=93 degree
angle aod +angle aob=180 (linear pair )
angle aod +93=180
angle aod=180-93
angle aod =87
angle cob=angle aod=87 (v.o.a.)

for fig 2.
angle qor=angle pos(vertically opposite angles )
angle qor=13
angle qor+angle poq=180 (linear pair )
13+angle poq=180
angle poq=180-13
angle poq=167

angle ros=angle poq=167 (vertically opposite angles )


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Answer 2

<AOC= ANGLE DOC (VERTICALLY OPPO)
ANGLE DOC=93
<AOC+ ANGLE AOD = 180 LINEAR PAIR
93+.ANGLE AOD = 180
ANGLE AOD =180_93= 87
AOD=BOC
BOC=93