the measures of the interior angles of a pentagon are 2x,6x,4x-6,2x-16,abd 6x+2.what is the measure, in degrees,of the largest angle?

Mathematics · College · Mon Jan 18 2021

Answered on

Given : 

Interior angles of pentagon: 2x,6x,4x-6,2x-16,and 6x+2.

Sum of interior angles of pentagon = 540°

So,

2x + 6x + 4x - 6 + 2x - 16 + 6x + 2 = 540°

20x - 20  = 540°

20x = 540° + 20°

x = 560/20

x = 28

 

So, largest angle = 6x + 2

= 6(28°) + 2°

= 168° + 2°

= 170°

 

Hence, largest angle of the pentagon is of 170°.

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