Mathematics 4024 · O Level · Angles

Angles — practice question

(a)[2]

In a pentagon, four of the angles are $2x^\circ$ and the remaining angle is $x^\circ$. Calculate the value of $x$.

(b)[2]

$ABCD$ and $EBCF$ form sections of two identical regular $n$-sided polygons. The polygons are joined along edge $BC$. Angle $DCF = 30^\circ$. Calculate the value of $n$.

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