40 points will give brainliest - what's the measure of the angle?

The 3 outside angles of a triangle need to equal 360 degrees.

You are given 96 and 137.

96 +137 = 233

The third outside angle needs to equal 360 - 233 = 127

So now you have:

2x - 23 = 127

Add 23 to both sides:

2x = 150

Divide both sides by 2:

x = 150 / 2

X = 75

The angle equals 127 degrees, X = 75

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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