Answer
a) $115^{\circ}$
b) $65^{\circ}$
Work Step by Step
a) Since the two lines that intersect to form the angle are bisectors, 2 angles can be determined in the triangle. The angle formed by the bisectors can be calculated by taking the total sum of internal angles of a triangle and subtracting the bisected angles.
$180^{\circ}-20^{\circ}-45^{\circ}=115^{\circ}$
b) Since RT is a straight line, the angle formed between the other 2 bisectors can be determined by subtracting the angle obtained in part a from $180^{\circ}$, which is the angle of a straight line.
$180^{\circ}-115^{\circ}=65^{\circ}$
