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marissa [1.9K]
2 years ago
9

Solve for X

Mathematics
1 answer:
Tomtit [17]2 years ago
4 0

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}}

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