Question

Find WV A 7 B 23 C 84 D 145

Answer 1

Comparing the two triangle above, we can state:

a) The side WZ = side YZ
b) The side VZ = XZ
c) Angle WZV = Angle XZY (Vertical Angles)
d) XY is parallel to WV
e) So, Angle XYZ = Angle VWZ

Thus, we can conclude that the two triangles are exactly equal in measure. All the sides and angles of the triangle have the same measure.

So, Side WV = Side XY

12x - 61 = 3x + 2
12x - 3x = 2 + 61
9x = 63
x = 7

So, length of WV will be = 12(7) - 61 = 23

Thus, the answer to this question is 23