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The correct measure for angle 3 must be 120 degrees, not 60 degrees.

The remote interior angles of a triangle are the two interior angles that are not adjacent to the exterior angle. The sum of the measures of the remote interior angles is equal to the measure of the exterior angle. In this case, if the measure of angle 1 is 50 and the measure of angle 2 is 70, then to find the measure of the exterior angle 3, we should add the measures of angle 1 and angle 2.
The calculation should be as follows:
50 (angle 1) + 70 (angle 2) = 120
Therefore, the measure of angle 3, the exterior angle, must be 120 degrees, not 60 degrees as Alicia thought.
Alicia's error is that she has likely misunderstood the concept that the exterior angle of a triangle is equal to the sum of the measures of the remote interior angles, not the average or any other operation.

Answered by SagarSa | 2024-06-24

Alicia's error is in calculating the measure of exterior angle 3. The exterior angle should be the sum of the remote interior angles, which gives 120°, not 60° as she thought. Hence, angle 3 is correctly 120° because 50° + 70° = 120°.
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Answered by SagarSa | 2024-12-26

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