x = 27, x = 3
Solution:
Figure (1):
If two triangles are similar, then the angles are congruent and the corresponding sides are proportional.
Do cross multiplication.
Subtract 112 from both side of the equation.
Subtract 20x from both side of the equation.
Divide by –6 on both sides.
⇒ x = 27
Figure (2):
If two triangles are similar, then the angles are congruent and the corresponding sides are proportional.
Divide by 3 on both sides of the equation.
⇒ x = 3