Question

In the given figure, AB II CD. Find the value of X. I need it fast plz

Answer 1

$Draw a line EF perpendicular to AB and CD passing through M</p><p></p><p>In △BME </p><p></p><p>∠BME+∠MBE+∠BEM=180∘ (Angle sum proprerty)</p><p></p><p>∠BME+35∘+90∘=180∘∠BME=180∘−125∘∠BME=45∘</p><p></p><p>In △DMF</p><p></p><p>∠DMF+∠MDF+∠MFD=180∘ (Angle sum property )</p><p></p><p>∠DMF+75∘+90∘=180∘∠DMF=180∘−165∘∠DMF=15∘</p><p></p><p>x=∠DMF+∠BME+∠EMF</p><p></p><p>x=15∘+45∘+180∘x=240∘</p><p></p><p>$