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)?
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Answer:
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°