Question

The angles of a pentagon are x degree, (x+20) degree, (x+40) degree, (x+60) degree and (x+80) degree. Find the smallest angle of the pentagon.

Answer 1

Answer:

Step-by-step explanation:

sum of the angles in a pentagon =540 x+(x+20)+(x+40)+(x+60)+(x+80)=540 5x=340

5x+200-540

5x -540-200

x=340/5

x=68

smallest angle =x =68 degrees

Answer 2

$\maltese{\large{\underline{\textbf{\textsf{Given:—}}}}}$

The angles of a Pentagon are x degree, (x+20) degree, (x+40) degree, (x+60)degree and (x+80)degree.

$\maltese{\large{\underline{\textbf{\textsf{To\:Find:—}}}}}$

The smallest angle of the Pentagon.

$\maltese{\large{\underline{\textbf{\textsf{Solution:—}}}}}$

Sum of the measure of a Pentagon = 540$\degree$

$\bigstar$According to the question —

${\longrightarrow}{\tt{x + x + 20 + x + 40 + x + 60 + x + 80 = 540}} \\ \\ {\longrightarrow}{\tt{5x + 200 = 540}} \\ \\ {\longrightarrow}{\tt{5x = 540 - 200}} \\ \\ {\longrightarrow}{\tt{5x = 340}} \\ \\ {\longrightarrow}{\tt{x = 68}}$

$\maltese{\large{\underline{\textbf{\textsf{Therefore:—}}}}}$

• Smallest Angle = x = 68$\degree$