Answer: x=21
Explanation:
In order to find the value of x, we can set up an equation using the information provided:
m4 = (4x)°
m6 = (84)°
Now, let's equate these two expressions:
(4x)° = (84)°
Since the two angles are equal, their measures must be equal as well. Therefore:
4x = 84
Now, we can solve for x:
4x = 84
Divide both sides by 4 to isolate x:
x = 84 / 4
x = 21
So, the value of x is 21.