Respuesta :

Answer:

The value of x is 11.875

Step-by-step explanation:

Since the triangles are congruent, we have that the measure of (2x + 22)º is the same as the measure of (10x - 73)º. So

[tex]2x + 22 = 10x - 73[/tex]

[tex]2x - 10x = -73 - 22[/tex]

[tex]-8x = -95[/tex]

[tex]8x = 95[/tex]

[tex]x = \frac{95}{8}[/tex]

[tex]x = 11.875[/tex]

The value of x is 11.875