x = 36
Step-by-step explanation:
The angles 4x and x are supplementary, meaning they add up to 180; therefore we have
[tex]4x + x = 180[/tex]
[tex]5x = 180[/tex]
dividing both sides by 5 gives
[tex]x = 36[/tex]
the measure of angle x is 36 and that of 4x is 4 * 36 = 144
The angle opposite to 4x also measures 144 and the one opposite to x is 36.
