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The figure below is composed of square ABCD and equilateral triangle

User Lightyrs
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1 Answer

3 votes

Answer: 225°

Explanation:

The correct option is D)

Refer Figure

Given:

ABCD is a square

ABP is an equilateral triangle

AB=BP=BC (△ABP is equilateral and AB and BC belong to a square, hence all are equal)

∠ABC=∠ABP+∠PBC=60°+∠PBC

90°−60°=∠PBC

∠PBC=30°

In △BPC

BP=BC

∠BPC=∠BCP= 2

180−∠PBC

​ ( angles opposite to equal sides of a triangle are equal)

∠APC=∠APB+∠BPC=(60+75)°=135°

Hence, Reflex ∠APC=(360−135)°=225°

User Ruffin
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