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Consider two angles, angle1 = angle2. A common angle, angle3, is added to each: angle1 + angle3 and angle2 + angle3.
What is the relation between these two new sums?

Class 9Euclid's AxiomsGeometry — Foundations
  • Aangle1 + angle3 = angle2 + angle3
  • Bangle1 + angle3 > angle2 + angle3
  • Cangle1 + angle3 = angle2
  • Dangle1 + angle3 < angle2 + angle3

Step-by-Step Solution

angle1 = angle2; adding the equal angle3 to both keeps them equal (adding equals to equals): angle1 + angle3 = angle2 + angle3.
Answer: A) angle1 + angle3 = angle2 + angle3

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