A regular polygon has 170 diagonals. Then the measure of interior angle of the polygon is

Step-by-step solution

Given, Number of diagonals in a polygon =170 aligned n(n-3) 2 & =170 n(n-3) & =340 n(n-3) & =20 17 n & =20 aligned Measure of interior angle = (n-2) n = 18 20 = 9 10 Hence, option (2) is correct.