What is the measure of angle d?

52
54
57
126

52

Step-by-step explanation:

Step-by-step explanation:

We know that the sum of a ll the angles of a quadrilateral is 360 degrees.

Then for the given trapezoid, applying the angle sum property of quadrilateral we get

Hence, The measure of angle D =

i believe the correct answer is b.

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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