Answer:
Angle A = 30˚
Step-by-step explanation:
Angle A: 3x-6
Angle B: 50 (180˚-130˚)
Angle C: 8x+4 (Vertical angle theorem)
We know that the interior of a triangle is 180˚ so we can set up the equation like the following:
3x - 6 + 50 + 8x + 4 = 180
Simplify like terms:
11x + 48 = 180
Subtract 48 on both sides:
11x = 132
Divide by 11 on both sides to solve for x:
x = 12
Now we take x and plug it into angle A:
3(12) - 6 = 30˚
Angle A = 30˚
