Question

Solve for X

Answer 1

Answer:  x=68 °

Step-by-step explanation:

The sum of the angles h in the n-gon is calculated by the formula :

$\displaystyle \rm S=180(n-2)$

where n is the number of sides

Then the sum of all the corners of the pentagon is equal to

$\rm S=180(5-2)=540$

$\displaystyle x+(x+60)+(x+80)+(x+40)+(x+20)=540 \\\\ 5x+200=540 \\\\ 5x=340 \\\\ \boxed{x=68^{\circ}}$