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In the rhombus WXYZ, < WXY = 84° . find < WZY and < XWYI don't really understand how to do this could you explain?

In the rhombus WXYZ, < WXY = 84° . find < WZY and < XWYI don't really understand-example-1
User Kashpatel
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1 Answer

21 votes
21 votes

Answer:

84° and 48°

Explanation:

1st of all, the inner angle of rhombus would total up into 360° and the opposite for each angle is equal to each other.

As ∆WXY = 84°, so

∆WZY = 84°

Any diagonal line in the rhombus would make the angle get divided equally i.e ∆XWZ

So find ∆XWZ first.

∆XWZ = (360° - 84° - 84°) ÷ 2

= 192° ÷ 2

= 96°

∆XWY = 96° ÷ 2

= 48°

User Promo
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