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Post-UTME Mathematics 2008 Objective — Question 5

Question 5 of 16 from the Post-UTME Screening (Post-UTME) Mathematics 2008 Objective paper, with the correct answer and a full explanation.

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In a triangle XYZ, ∠YXZ=44° and ∠XYZ=112°. Calculate the acute angle between the internal bisectors of ∠XYZ and ∠XZY

  • A. 12°
  • B. 56°
  • C. 68°Correct
  • D. 78°

Explanation

∠XZY=24°. The angle between the two bisectors is 90+22=112°, so the acute angle is 180-112=68°.

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