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In triangle ABC, side BC is produced both ways. The exterior angle on one side at C is 112° and the exterior angle at B (other side) is 121°. Using exterior angle and angle-sum reasoning, find the interior angle A.

Class 7Exterior Angle PropertyTriangles
  • A48
  • B58
  • C106
  • D53

Step-by-Step Solution

Interior B = 180 - 121 = 59; interior C = 180 - 112 = 68. Interior A = 180 - 59 - 68 = 53°.
Answer: D) 53

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