Step-by-step explanation:
1. m(angle A) is 90 degrees............[ tangent drawn from the centre of the circle is always perpendicular to the circle]
2.m(angle C) is also 90 degrees....[ tangent drawn from the centre of the circle is always perpendicular to the circle]
3. m(angle 1) is 57 degrees, angle A is 90 degrees, .....(given)
m(angle 4) + m(angle 1) + angle A = 180 ...............[ sum of measures of a triangle is always 180 degrees]
m(angle 4) = 180 - ( 57 + 90)
= 33 degrees
4. m(angle 3 ) is 63 degrees, m(angle C) is 90 degrees, .........[given]
m(angle 3) + m(angle 2) + angle C = 180 ...............[ sum of measures of a triangle is always 180 degrees]
m(angle 2) = 180 - ( 63 + 90)
= 27 degrees
