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sergeinik [125]
2 years ago
5

In kite WXYZ, mZWY = 41° and mXYW = 11° What is mWZY?

Mathematics
1 answer:
olchik [2.2K]2 years ago
8 0

Answer:

128°

Step-by-step explanation:

In kite WXYZ, WY and XZ are longer and smaller diagonals respectively.

Longer diagonal bisects the opposite angles.

\therefore m\angle ZYW =m\angle XYW

\because m\angle  XYW = 11\degree... (given)

\therefore m\angle ZYW =11\degree

In\: \triangle WYZ

m\angle ZYW + m\angle ZWY + m\angle WZY=180\degree

11\degree + 41\degree+ m\angle WZY=180\degree

52\degree+ m\angle WZY=180\degree

m\angle WZY=180\degree - 52\degree

\purple{\bold {m\angle WZY=128\degree}}

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