If a side of a triangle is extended, then the measure of the exterior angle so formed is equal to the sum of the measures of ____________ angles.
A
one adjacent and one non-adjacent interior
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B
two non-adjacent interior
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C
any two interior
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D
two right
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Solution
The correct option is B two non-adjacent interior If a side of a triangle is extended, then the measure of the exterior angle so formed is equal to the sum of the measures of two non-adjacent interior angles.
Example:
In the given triangle, when the side AC is extended to point B, the measure of the exterior angle ∠DCB so formed is equal to the sum of the measures of the two non-adjacent interior angles ∠DAC and ∠ADC.