Angle b and angle g are known as alternate angles.
a) consecutive
b) corresponding
c) exterior
d) interior

Angle b and Angle g are known as alternate exterior angles.

Step-by-step explanation:

Alternate exterior angles are two angles that are on the exterior of and , but on opposite sides of the transversal.

Clearly from the figure we could see that line AB and CD are parallel and there is a transversal cutting both the lines and angle b and angle g lie opposite and are the exterior angle.

Hence, b and g form a pair of alternate exterior angles.

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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