Question

5. Two lines AB and CD intersect at O such that AC || DB. Find ZBOD.
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Answer 1

Answer:

85°

Step-by-step explanation:

Given: AC||DB , angle A= 37°, and angle D = 58°

To Find: angle BOD

Solution: In ∆AOC,

BY ANGLE SUM PROPERTY,

Angle A+ angle C + angle o =180°

37°+ 58°+ angle o = 180°

95° + angle o = 180°

angle o = 180° - 95°

angle o = 85°

here, BY VERTICALLY OPPOSITE ANGLE

angle AOC = angle DOB

85°=85°

HENCE, angle BOD = 85°