The interior angles of a pentagon are x,x,2x, and 2x. What is the measure of the larger angles

Answer:The measure of larger angle is 180° Step-by-step explanation:Given as :For the pentagonThe measure of interior angles are ∠A = x ,∠B = x , ∠C = 2 x ,∠D = 2 x , ∠E = 3 xWe know, The sum of measure of all interior angles of pentagon = 540° So, x + x + 2 x + 2 x + 3 x =   540° or, 9 x =  540° ∴  x = [tex]\frac{540}{9}[/tex]I.e x = 60°So, The measure of angles are∠A =  60°  ,∠B =  60° , ∠C = 2 ×  60° = 120° ,∠D = 2 ×  60° = 120°, ∠E = 3  ×  60° = 180°So, the measure of larger angle is 180°Hence The measure of larger angle is 180° Answer