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The measure of each exterior angle of an equilateral triangle of an equilateral triangle is

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60 °

120 °

180 °

240 °

answer is B.

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Detailed Solution

It is given an equilateral triangle.
Construct an equilateral triangle

A B O

extended at

D

From the figure,

∠ A O D

is the exterior angle.
Calculate the measure of the angle.
The angles,

∠ A O D, ∠ A O B

make linear pairs.

∠ A O D + ∠ A O B = 180 °

∠ A O D + 60 ° = 180 °

∠ A O D = 180 ° − 60 °

= 120 °

Hence, the measure of each of the exterior angle of an equilateral triangle is

120 °

.
Hence option 2 is correct.

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