NECO Mathematics 2025 Objective — Question 48
Question 48 of 60 from the National Examinations Council (NECO) Mathematics 2025 Objective paper, with the correct answer and a full explanation.
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Calculate the value of y in Fig 3.6, given an angle of 144 degrees at D, with |AB|=|AC| in the resulting triangle.
- A. 36 degrees
- B. 72 degreesCorrect
- C. 76 degrees
Explanation
144+a=180 (angles on a straight line), so a=36 degrees. Since |AB|=|AC|, base angles are equal: a+y+y=180, 36+2y=180, y=72 degrees.
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