Answer:
The value of x is 16
Step-by-step explanation:
Given two angles are:
(4x + 19) and (7x -29)°
Two angles being congruent means that their numerical values will be equal
Putting both expressions equal
[tex]4x+19 = 7x-29[/tex]
Subtracting 7x from both sides
[tex]4x+19-7x = 7x-29-7x\\-3x+19 = -29[/tex]
subtracting 19 from both sides
[tex]-3x+19-19 = -29-19\\-3x = -48[/tex]
Dividing both sides by -3
[tex]\frac{-3x}{-3} = \frac{-48}{-3}\\x = 16[/tex]
Hence,
The value of x is 16
