The interior angle of a regular polygon with sides is 150°.
Calculate the value of .
................................................
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Syllabus Edition
First teaching 2021
Last exams 2024
The interior angle of a regular polygon with sides is 150°.
Calculate the value of .
................................................
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In the diagram, AC and BD are straight lines.
Find the value of and the value of .
= ...................................................
= ...................................................
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The exterior angle of a regular polygon is ° and the interior angle is °.
Calculate the number of sides of the polygon.
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A regular polygon has 72 sides.
Find the size of an interior angle.
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The diagram shows a regular octagon and a regular hexagon.
Find the size of the angle marked .
You must show all your working.
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ABDF is a parallelogram and BCDE is a straight line.
AF = 12cm, AB = 9 cm, angle CFD = 40° and angle FDE = 80°.
Explain why triangle CDF is isosceles.
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PQR is a triangle.
T is a point on PR and U is a point on PQ.
RQ is parallel to TU.
Explain why triangle PQR is similar to triangle PUT.
Give a reason for each statement you make.
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The angles of a quadrilateral are , , and .
Find the value of .
= ...................................................
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is parallel to , is an isosceles triangle and is a straight line.
Find the value of .
= ..............................................
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In a regular polygon, the interior angle is 11 times the exterior angle.
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Show that each interior angle of a regular pentagon is .
The diagram shows a regular pentagon .
The vertices of the pentagon lie on a circle, centre , radius .
is the midpoint of .
and are straight lines.
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The diagram shows a triangle and a quadrilateral. All angles are in degrees.
For the triangle, show that .
[1]
[1]
= ...................................................
= ................................................... [3]
Find the size of the smallest angle in the triangle.
[1]
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The diagram shows a regular pentagon.
and are two of the lines of symmetry of the pentagon.
Work out the size of the angle marked .
You must show all your working.
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is a regular 9-sided polygon.
The vertices and are joined with a straight line.
Work out the size of angle .
You must show how you get your answer.
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is a regular pentagon.
and are points on a circle, centre .
and are tangents to the circle.
is a straight line.
Prove that .
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