(a)[2]
Find the size of $a$.
(b)[3]
Find the measure of one interior angle of a regular 10-sided polygon.
(c)[2]
Find the values of $x$ and $y$.
(d)[2]
Find angle $CED$ and explain why your answer is correct.
(e)[2]
Calculate the value of $PR$.
Mathematics 0580 · IGCSE · Angles
Angles — practice question
The drawings are not to scale.
(a) Triangle ABC is isosceles. BCD lies on one straight line. The exterior angle at C is $118^\circ$.
(b) A regular 10-sided polygon.
(c) E, F and G are points on the circumference of a circle with centre O. JGH is tangent to the circle. The angle at G between the tangent and the chord is $58^\circ$.
(d) In the diagram, AG and AF are straight lines. BC and DE are parallel.
(e) PQR is a right-angled triangle with PQ = 21 cm, QR = 28 cm, and the right angle is at Q.