The angle of a heptagon are $$160^\circ, 135^\circ, 185^\circ, 140^\circ, 125^\circ, x^\circ, x^\circ$$. The value of $$x$$ is

Correct Answer: 77.5

Solution

The interior angles of a heptagon sum to $$(7-2)\times180^\circ=900^\circ$$. Adding the five known angles gives $$160+135+185+140+125=745$$, so $$2x=900-745=155$$, giving $$x=77.5$$.

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