Question

Angle BOC=125° angleCDO=70° find angle OAB

Answer 1

Answer:

OAB=105 is the right answer

Answer 2

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$\angle DOC+ \angle BOC=180\degree\\ \angle DOC = 180 \degree - 125\degree \\ \red{\angle DOC = 55\degree} \: \: \: ~~ \: \: (linear \: pair) \\ \\ \angle DCO =180 \degree - (70\degree + 55\degree) \\ \angle DCO =180\degree - 125\degree \\ \red{\angle DCO =55\degree} \ \\ \\ \ Since, \: \triangle ODC \sim \: \triangle OBA \\ \red{\angle OBA = \angle DCO = 55 \degree}$