Basic Angle Properties (Cambridge (CIE) IGCSE Maths: Core): Exam Questions

The diagram shows an isosceles triangle and a straight line.
Work out the value of $w$.

$w=$...............................[2]

Work out the value of $w.$
Give reasons for your answer.

$w=$ ............................ because ....................................................................................................

$QRS$is an isosceles triangle and $PQR$ is a straight line.

Find the value of $z$.

$z$ = ................................................... 

$ABC$ is an isosceles triangle.
$BCD$ is a straight line.

Find the value of $a$.

$a$ = .............................................. 

$ABC$is a straight line and $BCD$ is an isosceles triangle.
Find the value of$x$.

$x$= ................................................. 

In the triangle $ABC,AB=AC$ and angle $BAC=38°$.

$BCD$is a straight line.

Work out angle $ACD$.

Angle $ACD$ = .................................................. 

A triangle is isosceles.
One of its angles is 96°.

Find the other two angles.

........................ and ........................ 

Find the value of $x$.

$x$ = ................................................... 

In the diagram, ABC is a straight line and BDC is a triangle.

Find the value of $x$ and the value of $y$.

$BCD$ is an isosceles triangle.

$ABC$ is a straight line.

Find the value of $x$.

The diagram shows a trapezium.

Work out the value of $x$.

$x$ = ..................................................

Kim knows that one angle of an isosceles triangle is 48°.
He says that one of the other angles must be 66°.

Explain why Kim is wrong.

The diagram shows triangle $PRS$ and a straight line $QS$.
$Q$ is a point on $PR$.
Angle $QRS$ = 25°, angle $RSQ$ = 32° and $PS=QS$.

i) Find angle $PQS.$

Angle $PQS$ = ................................................... [2]

ii)Find angle $PSR$.

Angle $PSR$ = ................................................... [2]

The diagram shows a triangle.

Use the diagram to write down an equation and solve it to find the value of $x$.

$x$ = .................................. [4]

The diagram shows an isosceles triangle, $ABC$. $BCD$ is a straight line.

Find the value of $x$.

$x=$ ................................ [2]