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Find the value of x in the given triangle.

Mathematics

ScanSolve AI Answer

Answer

100

Step-by-step solution

2 steps
  1. ከ 140∘140^\circ አንግል ጋር ቀጥተኛ መስመር ላይ የሚገኘውን የሶስት ማዕዘኑን ውስጣዊ አንግል ያግኙ።

    አንድ ቀጥተኛ መስመር 180∘180^\circ ስለሆነ፣ ውስጣዊው አንግል የሚከተለው ይሆናል፦

    ውስጣዊ አንግል=180∘−140∘=40∘\text{ውስጣዊ አንግል} = 180^\circ - 140^\circ = 40^\circ
  2. የውጪ አንግል ቲዎረምን (Exterior Angle Theorem) በመጠቀም የ xx ዋጋን ያግኙ።

    የሶስት ማዕዘን ውጫዊ አንግል ከሁለቱ ተቃራኒ ውስጣዊ ማዕዘኖች ድምር ጋር እኩል ነው።

    x∘=40∘+60∘x^\circ = 40^\circ + 60^\circ x∘=100∘x^\circ = 100^\circ

    ስለዚህ የ xx ዋጋ:

    x=100x = \boxed{100}
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