Answer:
x = 10°
Step-by-step explanation:
The internal angles of the triangle are
46°, 8x-2 and y
By looking at the picture, we can see that
11x +14 + y = 180°
so
y = 180° - 11x -14 = 166 -11x
The sum of the internal angles of a triangle equals 180°, so
46 + 8x - 2 + 166 -11x = 180°
Solving for x
-3x = 180 - 166 -46 + 2 ===> -3x = -30 ===> x = (-30)/(-3) = 10
So x = 10°
