Question

The diagram shows triangle ABC.

С
Work out the sizes of angles x, y and z.
40°
110°
х
Z
A
В

Answer 1

x=70

y=30

z=20

Explanation:

x=180-110 (angles on a straight line)

y=180-110-40 (angle sum of triangle)

z= 180-90-70 (angle sum of triangle)

Answer 2

x=70°

y=30°

z=20°

Explanation:

x=180°-110°(anlges on a straight line)

x=70°

y+110°+40°=180°(sum of angles of triangle)

y+150°=180°

y=180°-150°

y=30°

z+x+90°=180°(sum of angles of triangle)

z+70°+90°=180°

z+160°=180°

z=180°-160°

z=20°