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12 questions · timed · auto-graded

Question 42 Marks
The sum of the interior angles of a polygon is $2160^{\circ}$. How many sides does this polygon have?
Answer
14
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Question 52 Marks
An octagon has three equal angles each of measure $115^{\circ}$ If all the remaining angles have equal measure, find the measure of each of these remaining angles.
Answer
$147^{\circ}$
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Question 62 Marks
The angles of a heptagon are $(x+3)^{\circ},(2 x+5)^{\circ},(x+8)^{\circ},(3 x+1)^{\circ},(5 x-6)^{\circ}$, $(2 x+9)^{\circ}$ and $(x-5)^{\circ}$. Calculate $x$.
Answer
59
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Question 72 Marks
Five of the angles of a hexagon are each $115^{\circ}$ Calculate the measure of the sixth angle.
Answer
$145^{\circ}$
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Question 122 Marks
Find the measure of each exterior angle of a regular decagon.
Answer
36
$\left[\right.$Hint: Each interior angle $=\frac{(2 \times 10-4) \times 90^{\circ}}{10}=144^{\circ}$
Each exterior angle $=180^{\circ}-$ Each interior angle.].
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