Angle one and two lie on straight line.
this means there sum is equal to 180°
Given :-
- angle 1 = 7x
- angle 2 = x+12
so we can say :-
[tex] \angle1 + \angle2 = 180 \degree \\ 7x + x + 12 = 180 \\ 8x + 12 = 180 \\ 8x = 180 - 12 \\ 8x = 168 \\ x = \frac{ \cancel{168} {}^{ \: \: 21} }{ \cancel8} \\ x = 21 \degree[/tex]
so angle one = 7x= 7×21 = 147°
angle two = x+12 = 21+12 = 33°
