Answer:
tan β = 
Step-by-step explanation:
tan β =
=
= 
Answer:
x = 41
Step-by-step explanation:
(2x+20) + (2x-4) = 180 degrees
4x+16 = 180 degrees
4x = 164
x = 41
The two sides are supplementary and add up to 180 degrees.
The answer is d 100 tan 40 degrees
BE and CD are parallel, so the triangles ABE and ACD are similar. Then the following relation holds:
AE/AD = AB/AC
10/(10 + 8) = x/(x + 6)
Solve for x :
10 (x + 6) = x (10 + 8)
10x + 60 = 18x
8x = 60
x = 60/8 = 7/5