Answer:
x = 12
A = 30
Step-by-step explanation:
Here, we want to solve for the value of x
The angle at the top of the triangle is 8x + 4
The reason for this is because vertically opposite angles are equal
Mathematically;
8x + 4 + 3x - 6 = 130
The reason for this is that opposite interior angles equal the exterior angle
Thus;
8x + 3x + 4- 6 = 130
11x -2 = 130
11x = 130 + 2
11x = 132
x = 132/11
x = 12
The value of A is 3x - 6
A = 3(12)-6
A = 36-6
A = 30
