Answer:
m∠2 = 104°
m∠3 = 76°
m∠4 = 104°
Explanation:
∠1 and ∠3 are vertical angles
That means they are of the same value.
∠2 and∠4 are also vertical angles and we can find the value like this:
Sum of all angles = 360°
Total value of found angles = 152°
Number of angles need to be found = 2x (note: this is 2x because both angles are the same)
Equation = 360 - 152 = 2x
208 = 2x
x = 208/2
x = 104
So angle m∠4 = 104°
and m∠2 = 104°