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In triangle ABC, all three interior angles are equal. What is the measure of each interior angle?

Mathematics

ScanSolve AI Answer

Step-by-step solution

3 steps
  1. Understand the given information.

    We are given a triangle ABCABC where all three interior angles are equal.

    ∠BAC=∠ABC=∠BCA\angle BAC = \angle ABC = \angle BCA

    Let's denote these angles as ∠A\angle A, ∠B\angle B, and ∠C\angle C respectively. So, ∠A=∠B=∠C\angle A = \angle B = \angle C.

  2. Apply the angle sum property of a triangle.

    The sum of the interior angles in any triangle is 180∘180^\circ.

    ∠A+∠B+∠C=180∘\angle A + \angle B + \angle C = 180^\circ
  3. Substitute the given equality into the angle sum property.

    Since $\angle A = \angle

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