Question

In a quadrilateral WXYZ the diagonals WY and XZ are 29cm and 25cm. Sides
WX and YZ are 13 and 17cm. Which of the following information will help us
construct the quadrilateral?

a) ∠W = 65° b) ∠X = 130° c) ∠Y = 80° d) XY = 15cm

Answer 1

Answer:

In a parallelogram, opposite angles are congruent.

∠XYZ = ∠XWZ = 135∘

Also, WX || ZY

So, ∠YZW + ∠XWZ = 180° (Since, interior angles on the same side of the transversal are supplementary)

⇒∠YZW+135°=180°⇒∠YZW=45°

Now l(OY)= 5

we know that diagonals of a parallelogram bisect each other.

So, l(WY) =

Answer 2

Answer:

a)<w=65°b)<x=130°c)<y=80°d)xy=15cm