The values of n, t and w are ; 45° , 79° and 45° respectively.
Circle geometry involves the study of properties and relationships within circles.
It includes concepts such as radius, diameter, circumference, central and inscribed angles, arcs, and sectors.
One of the theorems of circle is that angle substended from the diameter of a circle to the circumference is 90°
line DC = AC ( given)
therefore
2w + 90 = 180
2w = 90
w = 45°
angle w = angle n = 45°( angle in thesame segment)
angle t = 45 + 32 = 79° ( exterior angle of a triangle)