Do You have a textbook if so you can read and tell me what you learned.
Answer:
Similar triangles states the length of the corresponding sides are in proportion.
In a given similar triangles:
Labelled the diagram:
Triangle BAC and triangle DAC are similar.
then;
Corresponding sides:
AB = x units , BC = 5 units, AD = 15 units and DC = BD-BC = 8-5 = 3 units

By cross multiply we get;

Simplify:

Divide both sides by 3 we get;

Simplify:
x = 25 units
Therefore, the value of x is 25 units.
Sum of all the angles in a triangle is 180
so, 120 + x + x+16 = 180
136 + 2x = 180
2x = 180 - 136
x = 44/2
x = 22
Now, Angle B = x = 22
In short, Your Answer would be 22
Hope this helps!
x(-1,3) y(3,0) z(-1,-2)
xy
m = (3 + 1)/(0 - 3) = 4/-3 = -4/3
y - 3 = -4/3(x + 1)
y - 3 = -4/3x - 4/3
xy: y = -4/3x + 5/3
yz
m = (0 + 2)/(3 + 1) = 2/4 = 1/2
y = 1/2(x - 3)
yz: y = 1/2x - 3/2
xz
m = (3 + 2)/(-1 + 1) = 5/0 = undefined
y - 3 = undefined(x + 1)
xz: x = -1
xy: y = -4x/3 + 5/3
yz: y = x/2 - 3/2
xz: x = -1
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