Question

50
In the adjoining figure, it is given that AB || CD. angle ABO = 50° and
angle CDO = 40°
Find the measure of angle
BOD.
Hint. Through O draw EOF || AB.​

Answer 1

Solution:

Now we have given that AB || CD.

Construct a line parallel to AB as EOF.

Then:

angle ABO = ang OBF = 50 degree. (Alternate interior angles)

angle CDO = ang DOF = 40degree ..

(Alternate interiorNow adding both, we get angles)

ang OBF + ang DOF = 50 + 40

ang BOD = 90 degree.

Answer:

So the measure of angle BOD is 90 degree.

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