will mark brainlyest

Answer:
angle 1 = 91°
Step-by-step explanation:
concept maths: [ straight line equals to 180° ]
solve for x:
5x + 14 + 7x - 14 = 180
12x = 180°
x = 15°
find angle 1:
angle 2 + angle 1 = 180°
5x + 14 + angle 1 = 180°
5(15) + 14 + angle 1 = 180°
angle 1 = 180° - 89°
angle 1 = 91°
solve for x:
[tex]5x + 14 + 7x - 14 = 180°[/tex] [straight line = 180° ]
[tex]12x = 180°[/tex]
[tex]x = 15°[/tex]
find angle 1:
angle 2+ angle 1 = [tex]180°[/tex]
[tex]5x [/tex]+ [tex]14[/tex]+ angle 1 = [tex]180°[/tex]
[tex]5(15)[/tex] + [tex]14[/tex]+ angle 1 = [tex]180°[/tex]
angle 1 = [tex]180° - 89°[/tex]
angle 1 = [tex]91°[/tex]
Answer : 91°