huda80424
Answered

Welcome to Westonci.ca, where you can find answers to all your questions from a community of experienced professionals. Discover precise answers to your questions from a wide range of experts on our user-friendly Q&A platform. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.

I can't find the value of x or DEG, I've been stuck for a while.​

I Cant Find The Value Of X Or DEG Ive Been Stuck For A While class=

Sagot :

Answer:

  • x = 4
  • ∠DEG = 32°

Step-by-step explanation:

We know that:

  • If a rectangle is divided by its diagonals, it will form 4 isosceles triangles (ΔDGH, ΔFHE, ΔGHF, ΔDHE).
  • ΔFHE = 180 = 64 + 2y
  • ΔGHF = Isosceles triangle [∠G = ∠F]

________________________________________________

  • 180 = 64 + 2(FEH)
  • => 116 = 2(FEH)
  • => ∠FEH = 116/2 = 58

________________________________________________

  • => 90 - 58 = ∠DEG
  • => ∠DEG = 32°

________________________________________________

  • => 90° = 6x + 8 + 58
  • => 90° = 6x + 66
  • => 90 - 66 = 6x
  • => 24 = 6x
  • => x = 4

________________________________________________

We hope our answers were useful. Return anytime for more information and answers to any other questions you have. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Thank you for visiting Westonci.ca, your go-to source for reliable answers. Come back soon for more expert insights.