Question

Pls solve with full explanation ​

Answer 1

${\huge{\mathcal{\blue{HeY}}}}$

Given -

${\angle{OAB=50°}}$

To Find -

${\angle{BOD}}$

Solution -

${\angle{OAB}}$=${\angle{OBA}}$(OA=OB)

In ∆ AOB

${\angle{A}}$+${\angle{B}}$+${\angle{O}}$= 180°[Angle Sum Property]

50°+50°+ ${\angle{AOB}}$ = 180°

${\angle{AOB}}$= 80°

Now,

as AD is a straight line , so,

${\angle{AOB}}$+${\angle{BOD}}$=180° [linear angle/pair]

80°+${\angle{BOD}}$= 180°

${\angle{BOD}}$= 100°

${\bf{OptionC}}$${\bf{is}}$${\bf{correct}}$

Answer 2

Answer:

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