Find the measure of angle 3
I WILL GIVE BRAINLIEST TO THE CORRECT ANSWER

90

Step-by-step explanation:

4x+22=-6x+192 since 4x+22 is the same as angle 5 due to parallel lines, and then 5 = -6x+192 as it is straight across.

4x+22=-6x+192

10x+22=192

10x=170

x=17

plug back in to equation

4(17)+22= 90

∠3  =  90°

Step-by-step explanation:

∠4 = ( 4x + 22 )°                          [ Vertically opposite angles ]

∠4 = ( -6x + 192)°                         [ Corresponding angles ]

Therefore ,

4x + 22 = - 6x + 192

4x + 6x = 192 - 22

10x = 170

x = 17

∠4 = 4x + 22 = (4 × 17 ) + 22 = 90°

∠4 = 90°

∠3 + ∠4 = 180°                              

∠3 + 90° = 180°                              

∠3  = 180° - 90°                            

∠3  = 90°