Answer:the values of the variables are x = 12 and the measures of the angles are A = 95°, B = 55°, and C = 30
Explanation:
To find the values of the variables (x) and the measures of the angles, we can set up an equation based on the fact that the sum of the angles in a triangle is always 180°. So, we have the equation: (8x - 1) + (4x + 7) + 30 = 180 Simplifying the equation: 12x + 36 = 180 Subtracting 36 from both sides: 12x = 144 Dividing both sides by 12: x = 12 Now that we know the value of x, we can substitute it back into the expressions to find the measures of the angles: Angle A = (8x - 1) = (8 * 12 - 1) = 95° Angle B = (4x + 7) = (4 * 12 + 7) = 55° Angle C = 30° (given) Therefore, the values of the variables are x = 12 and the measures of the angles are A = 95°, B = 55°, and C = 30°.