Step-by-step explanation:
(A) From the given figure, we have
(Linear pair)
⇒
⇒
Thus, the measure of is .
Also, using the angle sum property in the given triangle, we get
⇒
⇒
⇒
Thus, the measure of is .
And,
⇒
⇒
Thus, the measure of is .
(B) Exterior angle theorem states that the exterior angle is equal to the sum of the two interior angles, thus from the given figure, we have
Therefore, the relationship between the measure of and to exterior angle is .