peytonpennoyer
peytonpennoyer peytonpennoyer
  • 12-01-2022
  • Mathematics
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Find the value of x

Find the value of x class=

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devishri1977
devishri1977 devishri1977
  • 13-01-2022

Answer:

x = 104

Step-by-step explanation:

In ΔCDE , CD = CE. ⇒ΔCDE is an isosceles triangle.

So, ∠D = ∠E = 71°

∠DCE + 71 + 71 = 180   {Angle sum property of triangle}

∠DCE + 142 = 180

∠DCE = 180 - 142 = 38

∠ACB = ∠DCE   {Vertically opposite angles}

∠ACB = 38

ΔABC is also an isosceles triangle where ∠ACB = ∠B = 38

x + 38 + 38 = 180

x + 76 = 180

x = 180 - 76

x = 104

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