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3 years ago

Solve for X

Mathematics

1 answer:

Tomtit [17]3 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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