Question

diagonals of a parallelogram WXYZ intersect each other points O.lf XYZ =135°; then what is the measure of XWZ and YZW ?
lf |(OY)=5 cm.then (WY)=?​

Answer 1

Answer:

∠ XYZ = 135° ⇒ ∠ XWZ = 135° as the opposite angels of a parallelogram are congruent. ∠YZW + ∠ XWZ = 180° as the adjacent angels of the parallelogram are supplementary.

Answer 2

Answer:

Step-by-step explanation:

Given ZX and WY are the diagonals of the parallelogram

∠ XYZ = 135° ⇒ ∠ XWZ = 135° as the opposite angels of a parallelogram are congruent.

∠YZW + ∠ XWZ = 180° as the adjacent angels of the parallelogram are supplementary.

⇒ ∠YZW = 180° - 135° = 45°

Length of OY = 5 cm then length of WY = WO + OY = 5+5 = 10 cm

(diagonals of the parallelogram bisect each other. So, O is midpoint of WY)