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Question

In each of the following figure AB || CD. Find the value of x in each case.
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Solution
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Draw a line EF perpendicular to AB and CD passing through M
In BME
BME+MBE+BEM=180 (Angle sum proprerty)
BME+35+90=180BME=180125BME=45
In DMF
DMF+MDF+MFD=180 (Angle sum property )
DMF+75+90=180DMF=180165DMF=15
x=DMF+BME+EMF
x=15+45+180x=240

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