Question

ABCD is a parallelogram. Given that CE= 6 CM and BD is 8 cm more than AC. Find ED

Answer 1

Answer:

Diagonals of a parallelogram WXYZ intersect each other at point O. If ∠XYZ = 135∘ then what is the measure of ∠XWZ and ∠YZW ?

If l(OY)= 5 cm then l(WY)= ?

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) = 2×OY=2×5=10 cm