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  • Find all the angles of an equilateral triangle.

Find all the angles of an equilateral triangle.

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\left [60^{\circ} \right ]

Solution.         In equilateral triangle all sides and angles are equal.

Let \angle PQR = \angle PRQ = \angle RPQ = x^{\circ}

Then Ð\angle PQR = \angle PRQ = \angle RPQ = 180^{\circ}                     (angle sum property)

x^{\circ} +x^{\circ} +x^{\circ} = 180^{\circ}\\ 3x^{\circ} =180^{\circ}\\ x^{\circ} =60^{\circ}\\

Thus, each angle of an equilateral triangle is 60°.

 

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