Answer:
91°
Step-by-step explanation:
Angle 2 and 3 are supplementary angles (they add up to 180).
Lets write an equation and solve for x:
[tex]5x+14+7x-14=180\\12x=180\\x=\frac{180}{12}\\x=15[/tex]
Also, Angle 1 and Angle 3 are vertical angles and they are EQUAL.
So angle 1 is also 7x - 14. And x = 15 so Angle 1 is:
Angle 1 = 7x - 14 = 7(15) - 14 = 91
