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Question-184199




Question Number 184199 by HeferH last updated on 03/Jan/23
Commented by HeferH last updated on 03/Jan/23
if E is the excenter of ABC, find x
ifEistheexcenterofABC,findx
Answered by mr W last updated on 04/Jan/23
Commented by mr W last updated on 04/Jan/23
ΔDEF≡ΔBEG  ⇒DE=BE  ⇒∠DBE=x  ⇒∠DBC=x−α=180−40−(x+α)  2x=140  ⇒x=70° ✓
ΔDEFΔBEGDE=BEDBE=xDBC=xα=18040(x+α)2x=140x=70°
Commented by HeferH last updated on 04/Jan/23
Thank you, I got the same answer but on the   book says x = 50°, I guess it was a typo :)    (option B) 70°, option D) 50°)
Thankyou,Igotthesameanswerbutonthebooksaysx=50°,Iguessitwasatypo:)(optionB)70°,optionD)50°)
Commented by mr W last updated on 05/Jan/23
x=70° is right. book is wrong.
x=70°isright.bookiswrong.

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