Post-UTME Mathematics 2013 Objective — Question 25
Question 25 of 100 from the Post-UTME Screening (Post-UTME) Mathematics 2013 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=180-44-112=24°. The angle between the two bisectors = 90+(∠X)/2=112°, so the acute angle is 180-112=68°.
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