The sum of the interior angles of a regular polygon A is 1260 degrees and each interior angle of a regular polygon B is 128degrees. The sum of the numbers of sides of polygons A and B is:
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 16
For polygon A,
⇒ (n - 2) × 180 = 1260
⇒ n - 2 = 7
⇒ n = 9
For polygon B,
⇒ [(n - 2) × 180]/n = 900/7
⇒ 7n - 14 = 5n
⇒ 2n = 14
⇒ n = 7
Sum of their sides = 9 + 7 = 16.