The sum of the measures of two exterior angles of a triangle is 264 degrees. what is the measure of the third exterior angle?
84 degrees
96 degrees
112 degrees
124 degrees

The third exterior angle is 96° .

Step-by-step explanation:

Let us assume that the first angle be x.

Let us assume that the second angle be y.

Let us assume that the third angle be z .

As given

The sum of the measures of two exterior angles of a triangle is 264 degrees.

Thus

∠1 + ∠2 = 264 °

Now by using the property .

Sum of three exterior angles sum of a polygon is 360° .

Thus

∠1 + ∠2 + ∠3 = 360°

264° + ∠3 = 360°

∠3 = 360 ° - 264°

∠3 = 96°

Therefore the third exterior angle is 96° .

∠cbe and ∠deb are same-side interior angles.

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