[tex]\huge\blue{\mid{\underline{\overline{\tt Question:}} \mid}}[/tex]
(A) In a Quadrilateral ABCD, bisectors of ∠A and ∠B intersect at O such that ∠AOB = 75°, then write the value of ∠C + ∠D.

(B) In a Parallelogram ABCD, if ∠A = (3x - 20)°, ∠B = (y + 15)°, ∠C = (x + 40)°, then find the values of x and y.

(C) Prove that the line segment joining the mid-point of the diagonals of a trapezium is parallel to each of the parallel sides and is equal to half the difference of these sides.

OR

Show that the Quadrilateral formed by joining the mid-points of the consecutive sides of a square is also a square.

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