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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-example-1
User Weenzeel
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1 Answer

10 votes

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Answer:

105°

Explanation:

∠EBC = ∠EBD + ∠DBC

∠EBC = 45° + 60°

∠EBC = 105°

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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°.

User Floriank
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