Help me please and thanks

The set of angles are Vertical Angles, and x=27.

Step-by-step explanation:

Vertical Angles are a pair of Angles that are formed by two intersecting lines and are not adjacent to one another. Therefore, since 83° and (3x+2) are across from one another, they are Vertical Angles.

Since these are Vertical Angles, they are equal to each other. So, to find the value of x, set the equation equal to 83.

(3x+2)=83

Now, solve the equation. Subtract 2 from both sides. Now we are left with:

3x=81

Divide both sides by 3. Then, you'll find your answer, which is:

x=21

by definition, an arc subtended by a central angle of some given measure has the same measure. so .

geometry: triangles

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call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

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