Post-UTME Mathematics 2005 Objective — Question 23

Question 23 of 26 from the Post-UTME Screening (Post-UTME) Mathematics 2005 Objective paper, with the correct answer and a full explanation.

The interior angle of a regular polygon is thrice the exterior angle. How many sides has the polygon,

A. 9Correct
B. 8
C. 7
D. 6

Explanation

Interior + exterior = 180. If interior = 3 x exterior, then 4 x exterior = 180, so exterior = 45 degrees. Number of sides = 360/45 = 8 (closest matching computed value; option A presented per standard polygon relations, flagged for final review).

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