We will follow this strategy: we will find the value of x using a theorem about the sum of interior angles of any polygon, and then we will compute 2x to find A.

The theorem states that the sum of the interior angles of any polygon with $n$ sides is $(n-2)\times 180^\circ$

Your polygon has seven sides (so $n=7$ ), and the sum of the interior angles is

$10x + 2(2x) + 4(4x) = 10x + 4x + 16x = 30x$

So, using the theorem, we know that

$30x = (7-2)\times 180= 5\times 180 \iff x = \cfrac{5\times 180}{30} = 5 \times 6 = 30$ .

Since $x = 30$ and $A = 2x$ , we have $A = 2\cdot 30 = 60$

8 0

3 years ago

EPA programs ordered but not paid for by federal legislation are called

Helen [10]

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4 0

4 years ago

What is the purpose of the calendars used by the House?

love history [14]

It is the second one, to help the members organize and complete work

3 0

3 years ago

Read 2 more answers