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M∠KJI = 120° and m∠CJI = 100°. Find m∠KJC.

User Areum
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1 Answer

2 votes

Final answer:

The calculated measure for angle KJC is -40°, but an angle measure cannot be negative. This suggests there is an error in the provided angle measures or they do not belong to the same triangle.

Step-by-step explanation:

To find the measure of angle KJC, we should understand that the sum of angles in a triangle equals 180°. Given m∠KJI = 120° and m∠CJI = 100°, we can infer that ∠KJI and ∠CJI are part of triangle KJC. Therefore, we can find m∠KJC by subtracting the sum of the given angles from 180°.

  • m∠KJC = 180° - (m∠KJI + m∠CJI)
  • m∠KJC = 180° - (120° + 100°)
  • m∠KJC = 180° - 220°
  • m∠KJC = -40°

However, the measure of an angle cannot be negative, which indicates there was a misunderstanding of the given information or a typo. Let's reassess the provided angles. If m∠KJI + m∠CJI is indeed more than 180°, these angles cannot be part of the same triangle. It's possible that one of the angles is outside the triangle, or there's an error in the given values.

User Barjavel
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