Answer:
w= 1
x = 6
Explanation:
Congruent Triangles
When two triangles are determined to be congruent, their side lengths and angles have the same measure.
We are given the condition that triangles FGH and ABC are congruent. This implies that sides FH and AC have the same measure, or, equivalently:
x + 12 = 18
Solving:
x = 18 - 12 = 6
x = 6
Similarly, sides HG and CB have the same length, thus:
w + 45 = 46
Solving:
w = 46 - 45 = 1
w= 1