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which angles are complementary to each other? ∠5 and ∠3 ∠2 and ∠3 ∠1 an…

Question

which angles are complementary to each other?
∠5 and ∠3 ∠2 and ∠3 ∠1 and ∠3 ∠4 and ∠3

Explanation:

Step1: Recall the definition of complementary angles

Complementary angles are two angles whose sum is \(90^{\circ}\).

Step2: Analyze each pair

  • For \(\angle5\) and \(\angle3\): There is no indication that \(\angle5+\angle3 = 90^{\circ}\).
  • For \(\angle2\) and \(\angle3\): There is no indication that \(\angle2+\angle3=90^{\circ}\).
  • For \(\angle1\) and \(\angle3\): There is no indication that \(\angle1+\angle3 = 90^{\circ}\).
  • For \(\angle4\) and \(\angle3\): Since they form a right - angle (marked with the red square), \(\angle4+\angle3=90^{\circ}\)

Answer:

\(\angle4\) and \(\angle3\)