Question

the given figure ab is parallel to CD abs question for decrease CD is equal to 65 then X is equals to

Answer 1

HERE IS THE SOLUTION FOR YOUR QUESTION;

◆Construction: Draw a line parallel to line AB & CD from point E so that AB parallel to CD parallel to EF. 【 Note: EF is the constructed line.】

◆◆THE SOLUTION◆◆

◆Since AB parallel to EF & CD.

So 35°+ Angle BEF =180° [Angles on the same side of the transversal is supplementary angles]

=>BEF=180-35

=>BEF=145°.

Now similarly for the other side;

65°+DEF=180°.

=>DEF=180-65

=> DEF=115°.

★★Now For Finding X ★★

Now, X+DEF+BEF=360°. [Complete angle sum property]

=>X + 115°+145°=360°

=>X+ 260°= 360°

=>X=360-260

=>X =100°.

SO THE VALUE OF X IS 100°.

HOPE IT HELPS