Question

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

• A. 108⁰
• B. 90⁰
• C. 140⁰
• D. 120⁰

Answer 1

Answer:

D. 120⁰

The sum o interior angles of a polygon is given by

$=(n-2)\times 180^{\degree}$

$=3\times 180^{\degree}=540^{\degree}$

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

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

$3x=360^{\degree}$

$x=\frac{360}{3}=120^{\degree}$