Question

3x + 11
s
R
In parallelogram PQRS, what is the length of PR?
(a) 10
(b) 12
c) 24
(d) cannot find
4x-10
Which of the following statements is not always true? P 5x+3 Q
of a rectangle divide the rectangle into four non-overlappin​

Answer 1

Step-by-step explanation:

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