The diagram shows a triangle drawn between a pair of parallel lines.
Find the value of and the value of .
.................................................
.................................................
Did this page help you?
The diagram shows a triangle drawn between a pair of parallel lines.
Find the value of and the value of .
.................................................
.................................................
Did this page help you?
Triangle is isosceles.
Angle and .
Find angle .
Angle ................................................
Did this page help you?
Triangle ABC is isosceles.
AC is parallel to BD.
Find the value of and the value of .
= ..............................................
= ..............................................
Did this page help you?
The diagram shows two triangles, and .
is a straight line, , angle and angle .
Work out angle .
Angle = .................................
Did this page help you?
Find the number of sides of a regular polygon with interior angle 162°.
Did this page help you?
The interior angle of a regular polygon with sides is .
Work out the value of .
................................................
Did this page help you?
The diagram shows triangle ABC.
The triangle is reflected in the line BC to give a quadrilateral ABDC.
Write down the mathematical name of the quadrilateral ABDC.
Find angle ACD.
Angle ACD = ................................................
Did this page help you?
and is a straight line.
Find the value of .
.................................................
Did this page help you?
A regular polygon has an interior angle of 176°.
Find the number of sides of this polygon.
Did this page help you?
The exterior angle of a regular polygon is ° and the interior angle is °.
Calculate the number of sides of the polygon.
Did this page help you?
Complete the statements.
a = ............................................... because ...............................................
b = ............................................... because ...............................................
Did this page help you?
The diagram shows a regular octagon and a regular hexagon.
Find the size of the angle marked .
You must show all your working.
Did this page help you?
The diagram shows quadrilateral with extended to .
Angle , angle and angle .
Find the value of .
= .................................................
Did this page help you?
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.
Did this page help you?
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.
Did this page help you?
The diagram shows a trapezium.
Work out the value of .
..................................................
Did this page help you?
A hexagon has five angles that each measure 115°.
Calculate the size of the sixth angle.
Did this page help you?
The angles of a quadrilateral are , , and .
Find the value of .
= ...................................................
Did this page help you?
The diagram shows an isosceles triangle ABC with AB = AC.
LCM and BCN are straight lines and LCM is parallel to AB.
Angle ACL = 56°.
Find the value of and the value of .
= ................................................
= ................................................
Did this page help you?
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.
Did this page help you?
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.
Did this page help you?
is a regular pentagon.
and are points on a circle, centre .
and are tangents to the circle.
is a straight line.
Prove that .
Did this page help you?