Answer:
<B = 15
Step-by-step explanation:
A triangle adds up to 180 degrees.
Since these triangles are similar, the sides are located in the same spot. (A is in same spot as D, etc.)
A=75
F=90
75 + 90 + x = 180
165 + x = 180
x = 15
The only values a cosine can have are from -1 to 1.
-5/8c = 20....multiply both sides by -8/5 (this cancels out the -5/8 on the left
c = 20(-8/5)
c = -160/5
c = - 32
check..
-5/8(-32) = 20
160/8 = 20
20 = 20 (correct)
so c = -32
m<A = 114° , m<Q = 114° , m< D= 66° ,m<U = 66°
x=13
FIRST THREE OPTIONS
A,B,C