Look at the triangle below which of the following represents two of the angle measures of the triangle

x = 7

two of the angles 60 and 80

Step-by-step explanation:

The sum of interior angles in a triangle is equal to 180

8x + 4 + 6x - 2 + 10x + 10 = 180 add like terms

24x + 12 = 180 subtract 12 from both sides

24x = 168 divide both sides by 24

x = 7 replace x with 7 in the equation to find the angle measures

6x - 2 = 40

10x + 10 = 80

8x + 4 = 60

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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