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

The measure of larger angle is 180°

Step-by-step explanation:

Given as :

For the pentagon

The measure of interior angles are

∠A = x ,

∠B = x ,

∠C = 2 x ,

∠D = 2 x ,

∠E = 3 x

We 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 =

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

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