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 <em>any</em> 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

True or False? Calvin Coolidge’s sentiments of returning to normalcy struck a chord with voters, and he won the election of 1920

VashaNatasha [74]

Answer: False

Explanation: Harding's

3 0

3 years ago

Read 2 more answers