chloehurst529
chloehurst529 chloehurst529
  • 18-01-2021
  • Mathematics
contestada

the diagram shows a square ABDE and an equilateral triangle BCD
work out the size of angle EBC.​

the diagram shows a square ABDE and an equilateral triangle BCD work out the size of angle EBC class=

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sqdancefan
sqdancefan sqdancefan
  • 18-01-2021

9514 1404 393

Answer:

  105°

Step-by-step explanation:

∠EBC = ∠EBD + ∠DBC

∠EBC = 45° + 60°

∠EBC = 105°

__

The diagonal of the square bisects the 90° corner angle, so the portion of interest is 90°/2 = 45°.

An equilateral triangle has all three angles the same: 180°/3 = 60°.

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