In adjacent figure OB perpendicular to OA . angle BOC= 52 °.Find angle AOD.?
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in adjacent figure angle BOA is a right angle
it means angle AOC and angle BOC are pair of complementary angles
if m angle BOC =52°
ANGLE AOC=
angle AOC + BOC = 90°
therefore 52° + AOC = 90°
angle AOC = 90°-52°
therefore angle AOC = 38°
m angle DOA =
ANGLE DOA and angle COA are pair of spokesman angles or angles in a linear pair
if angle COA/AOC = 38°
then m angle DOA = 38° + DOA = 180°
angle DOA = 180° -38°=142°
therefore m angle DOA is 142°
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