Question

in teh given figure, angle OEB = 75°, angle OBE = 55°, angle OCD = 100°, angle ODC =?​

Answer 1

Answer:

Step-by-step explanation:

first triangle

angle B = 55

angle E = 75

angle o = x

angle o = x + 75 + 55 = 180 (angle sum property)

x = 180 - 130

x = 50

second triangle

angle o (from first triangle) = angle o (from second triangle) [vertically opp. angle

angle o = 50

angle C = 100

angle D = x

angle D = x + 100 + 50 = 180 (angle sum property)

x = 150 - 180

x = 30

hence angle ODC = 30