Respuesta :

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°