The measures of angles are [tex] \bold{72^{\circ},108^{\circ} and 108^{\circ}} [/tex]
Solution:
The angles opposite to each other are equal.
Angle 1 = Angle 3
Angle 2 = Angle 4
Given that one of the angle formed is [tex]72^{\circ}[/tex]
Consider Angle 1 = [tex]72^{\circ},[/tex]
Hence Angle 3 is also [tex]72^{\circ}[/tex]
Since the angle formed in a straight line is [tex]180^{\circ},[/tex]
Angle 1 + Angle 2 = [tex]180^{\circ}[/tex]
[tex]72^{\circ}[/tex] + Angle 2 = [tex]180^{\circ}[/tex]
Angle 2 = [tex]108^{\circ}[/tex]
Hence angle 4 is also [tex]108^{\circ}[/tex]
