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Please write a proof

Please write a proof-example-1
User Jspit
by
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1 Answer

3 votes

Answer:

Explanation:

∠X ≅∠Z : Given

∠ZYV≅∠XYU

∠ZVY≅∠XUY Because ∠ZYV≅∠XYU, ∠X ≅∠Z.

So ∠YVW≅∠YUW

Draw VU

ΔVWU is an isosceles triange so ∠UVW≅∠VUW

So ∠YVU≅∠YUV

Therefore ΔYVU is also an isosceles triangle and YV = YU

So ΔZYV≅ΔXYU ( ASA)

So XU = ZV ( because of CPCTC)

Therefore XU + WU = ZV = VW : XW = ZV

ΔXWV ≅ΔZWU ( ASA)

User Paul Ghiran
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