Question

Diagonal of a parallelogram WXYZ intersect each other at point O. If angle WYZ = 135 then what is the measure of angle WWZ and angle YZW ?
If OY = 5 cm then l WY = ?
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Answer 1

Given:

•diagonal of parallogram WXYZ intersect each other at point O

•∠WYZ = 135°

•OY = 5cm

To Find

• measure of angles XWZ and YZW

• length of WY

Solution:

1) ∠XYZ = 135°

rectangle️ WXYZ is a parallogram

$⟹$∠XWZ = ∠XYZ

$∴$ ∠XWZ = 135° ......(1)

2)∠YZW = 135° = 180°[adjacent angles of parrallogram are supplimentary]

$⟹$ ∠YZW + 135° = 180° [from (1)]

$⟹$∠ YZW = 180° - 135°

$∴$ ∠YZW = 45°

3) (OY) = 1/2 (WY) [diagonal of parrallogram bisects each other]

$⟹$(WY) = 2(OY) = 2×5

$⟹$(WY) = 10cm

Hence:

➙${\small\boxed{\sf{\red{∠XWZ = 135°}}}}$

➙${\small\boxed{\sf{\red{∠YZW = 45°}}}}$

➙${\small\boxed{\sf{\red{WY = 10cm}}}}$

Answer 2

Answer:

this may be answer

Step-by-step explanation:

i hope you understand