Answer:
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 = [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
