Measure of two unknown angles. the sum of the remaining angles.(i) 50 right angles (ii) 1800°.12. Is it possible to have a regular polygon if each interior angle is 110°?SUM OF THE MEASURES OF THE EXTERIOR ANGLES OF A POLet n sides of a convex polygon be produced in order.Then at each vertex of the polygon, sum of the interior angle and exterior ang= 180º = 2rt. Zsn interior Zs + n exterior Zs = 2n rt. Zs(2n - 4) rt. Zs +n exterior Zs = 2n rt. Zsin exterior Zs = [2n - (2n - 4)] rt. Zs = 4 rt. ZsHence, the sum of the exterior angles of a polygon is always 360°, whatevernumber of sides...7. Prove that the angle contained by the bisectors of any two consecutive angles of a qu8. Find each angle of a pentagon if its angles are in the ratio of 1:2:3:5:9.9. Find the sum of the degree measures of the interior angles of (i) a hexagon (ii) an10. The interior angle of a regular polygon is 156º. Find the number of sides of the po11. Find the number of sides a polygon has if the sum of the measures of the interior​