Question

Solved this question....

Answer 1

Given: ABCD is a rectangle
AD=DM

T.F=X and Y

<D =90° ( each angle in a rectangle is 90°)

AD=DM
:. <DAM=<DMA( Equal sides subtend equal angles). (i)

<DAM+<DMA+<ADM=180°( Angle sum property of triangle)
90°+2<DAM=180° { From (i)}
2<DAM=180°-90°
<DAM=90°/2=45°

<MAB=<DAB-<DAM
y=90°-45°
y=45°

x=180°-45° ( CD is a line segment)

:.x=135°