Page 60 - MAT KS3 Y8 Cambridge CheckPoint

5.3 Solving angle problems

2 In the diagram, KL and MN are parallel. L
Find the sizes of the angles marked a, b, c and d.
Give a reason in each case. 136°
c°
K N
d°
a°
b°
M

3 In the diagram, the sides of the triangle have been extended, as shown.
a Explain why d = a + c. f °
b Write similar expressions for e and f. a°
c Show that the sum of the exterior angles of this triangle is 360 °.
b°
d° c° e°

4 In the diagram, ABC is an isosceles triangle. B
AB = AC. AB is parallel to DE. 68 °
Angle ABC = 68 °.
Work out the size of angle EDC. E
A
Give a reason for your answer.
D

C

5 This pentagon is divided into a triangle and a quadrilateral.
Show that the angle sum of the pentagon is 540 °.

Copy the diagram. Label the angles.

B
6 In the diagram, AB is parallel to DE.
Show that the angles of triangles ABC and DEC are the same size. E

A D C

7 In the diagram, ABCD is a parallelogram. A
Show that p + q = r.
p° B
r°

D
q°
C

58 5 Angles