Question

Find angles x and y, as show in the figure. (2 marks)

Answer 1

Solution:
Opposite angles are equal,
so, $LABC=60°\Rightarrow x=60°$
(1 mark)
Using the sum of angles of a triangle is $180°in△ABC,LABC+LBCA+LCAB=180°\Rightarrow 60°+y+30°=180°\Rightarrow y+90°=180°\Rightarrow y=90°$
(1 mark)