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
llm
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°.