Question

diagonals of a parallelogram wxyz intersect each other at point o if /_xyz =135° then what is the measurse /_xwz if i mark as brainlist full step plz​

Answer 1

Answer:

R.E.F.Image.

In a parallelogram, diagonal bisect each other 

∴OY=OW=5cm

∠XYZ+∠YZW=180∘ [∴ interior angles]

135∘+∠YZW=180∘

∠YZW=45∘

In a parallelogram, opposite angles are equal

∠XYZ=∠XWZ=135∘

and OY = 5 cm then WY = OY + OW

5+5=10cm [opposite diagonal]

Answer 2

In a parallelogram, opposite angles are congruent.

In a parallelogram, opposite angles are congruent.LXYZ = LXWZ = 135

In a parallelogram, opposite angles are congruent.LXYZ = LXWZ = 135Also, WX || ZY

In a parallelogram, opposite angles are congruent.LXYZ = LXWZ = 135Also, WX || ZYSo, 2YZW+2XWZ 180° (Since, interior angles on the same side of the transversal are supplementary)

In a parallelogram, opposite angles are congruent.LXYZ = LXWZ = 135Also, WX || ZYSo, 2YZW+2XWZ 180° (Since, interior angles on the same side of the transversal are supplementary)ZYZW + 135° = 180

In a parallelogram, opposite angles are congruent.LXYZ = LXWZ = 135Also, WX || ZYSo, 2YZW+2XWZ 180° (Since, interior angles on the same side of the transversal are supplementary)ZYZW + 135° = 180ZYZW = 180° - 135°

In a parallelogram, opposite angles are congruent.LXYZ = LXWZ = 135Also, WX || ZYSo, 2YZW+2XWZ 180° (Since, interior angles on the same side of the transversal are supplementary)ZYZW + 135° = 180ZYZW = 180° - 135°LYZW 45°

In a parallelogram, opposite angles are congruent.LXYZ = LXWZ = 135Also, WX || ZYSo, 2YZW+2XWZ 180° (Since, interior angles on the same side of the transversal are supplementary)ZYZW + 135° = 180ZYZW = 180° - 135°LYZW 45°Now I(OY)=5

In a parallelogram, opposite angles are congruent.LXYZ = LXWZ = 135Also, WX || ZYSo, 2YZW+2XWZ 180° (Since, interior angles on the same side of the transversal are supplementary)ZYZW + 135° = 180ZYZW = 180° - 135°LYZW 45°Now I(OY)=5we know that diagonals of a parallelogram bisect each other.

In a parallelogram, opposite angles are congruent.LXYZ = LXWZ = 135Also, WX || ZYSo, 2YZW+2XWZ 180° (Since, interior angles on the same side of the transversal are supplementary)ZYZW + 135° = 180ZYZW = 180° - 135°LYZW 45°Now I(OY)=5we know that diagonals of a parallelogram bisect each other.So, I(WY) 2 xOY =2x5 10 cm

In a parallelogram, opposite angles are congruent.LXYZ = LXWZ = 135Also, WX || ZYSo, 2YZW+2XWZ 180° (Since, interior angles on the same side of the transversal are supplementary)ZYZW + 135° = 180ZYZW = 180° - 135°LYZW 45°Now I(OY)=5we know that diagonals of a parallelogram bisect each other.So, I(WY) 2 xOY =2x5 10 cmHOPE IT HELP FULL TO YOU