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In the figure AB= BC=CD=DE=AE. <C=<D=90°. what is the measure of <A?

WhatsApp Image 2024-11-30 at 14.45.05.jpeg

A108⁰

B90⁰

C140⁰

D120⁰

Answer:

D. 120⁰

Read Explanation:

The sum o interior angles of a polygon is given by

=(n2)×180°=(n-2)\times 180^{\degree}

=3×180°=540°=3\times 180^{\degree}=540^{\degree}

180°+3x=540°180^{\degree}+3x=540^{\degree}

3x=540°180°3x=540^{\degree}-180^{\degree}

3x=360°3x=360^{\degree}

x=3603=120°x=\frac{360}{3}=120^{\degree}


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