Question

in adjoining figure it is given that ab=CD angle abo = 50 and angle cdo = 40 find the measure of bod
Through o draw EOF = AB

Answer 1

Given: The correct question is: AB || CD and ang ABO = 50° and  ang CDO = 40°.

To find: The measure of ang BOD.

Solution:

• Now we have given that AB || CD.

• Construct a line parallel to AB as EOF. Then:

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

                   ang CDO = ang DOF = 40 degree  ...............(Alternate interior angles)

• Now adding both, we get:

                   ang OBF + ang DOF = 50 + 40

                   ang BOD = 90 degree.

Answer:

           So the measure of angle BOD is 90 degree.

Answer 2

Step-by-step explanation:

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