Given the figure shown at the right ABC is a triangle, what would be the measure of the unknown exterior angle (labeled x in the diagram)?

d. 112°

Step-by-step explanation:

m<A = 64° (given)

m<ABC = 180° - 132° (linear pair)

m<ABC = 48°

According to the exterior angle theorem of a triangle, the exterior angle of a ∆ is equal to the opposite interior angles of the ∆.

48° and 64° are interior angles of ∆ABC that are opposite to the exterior angle, x.

Therefore,

x = 48 + 64

x = 112°