Respuesta :

Answer:

46 degrees

Step-by-step explanation:

Find Larger Triangle Missing Angle:

180-(85+53) = 180-138

                    = 42 degrees

Use Vertical Anlges to find smaller traingle missing angle is also 42 degrees.

Find X:

180-(92+42) = 46 degrees

Answer:

46°

Step-by-step explanation:

Measure of vertical angle = 180° - ( 85° + 53°)

= 180° - 138°

= 42°

x + 42° + 92° = 180°

x + 134° = 180°

x = 180° - 134°

x = 46°