Question

9. In the figures given below, find x and y.
second figure​

Answer 1

Step-by-step explanation:

First Name this figure as ABCO,

Now lets draw a line through point O till B such that it bisects angle 60°.

Now in triangle, OBC (Look in the picture)

Angle OBC+Angle OCB+Angle BOC=180° [Angle Sum Property]

30+45+Angle BOC=180

75°+Angle BOC=180

Angle BOC=105°

Now in Triangle ABO,

Angle OAC+Angle OBA+Angle BOA=180°

30°+30°+ Angle BOA=180°

Angle BOA+60°=180°

Angle BOA=180-60

Angle BOA=120°

Therefore, y=Angle BOC+Angle BOA

y=120°+105°

y=225°

x=360-y

x=360°-225°

x=135°