Using the figure above, if< a = < d, then< b < e.
choose the relationship symbol that makes the statement true.

The relationship symbol that makes the statement true is '>'.

Step-by-step explanation:

Given,

In triangles ABC and EDF,

∠A = ∠D

Since, the sum of all interior angles of a triangle is supplementary,

⇒ ∠A + ∠B + ∠C = 180° and ∠D + ∠E + ∠F = 180°

⇒ ∠A = 180° - ∠B - ∠C and ∠D = 180° - ∠E - ∠F,

By substituting the values,

180° - ∠B - ∠C = 180° - ∠E - ∠F

- ∠B - ∠C = - ∠E - ∠F

∠B + ∠C =  ∠E + ∠F

∠B + 20° =  ∠E + 30°  ( given ∠C = 20° and ∠F = 30° )

∠B  =  ∠E + 10°  

⇒∠B > ∠E

Hence, the relationship symbol that makes the statement true would be '>'.

answer:  

step-by-step explanation:

here x represents the height of the pole,

and, the height of the shadow of the pole is 12 feet.

also, the angle of elevation from the top of the pole is 40°,

therefore,

by the low of sine,

which is the required equation for finding the value of x,