Answer:
Step-by-step explanation:
a) The sum of the angles in a triangle is 180 degrees. This means that
Angle A + angle B + angle C = 180
Therefore,
3x + 28 + 5x + 52 + 2x - 10 = 180
Collecting like terms, it becomes
3x + 2x + 5x + 28 + 52 - 10 = 180
10x + 70 = 180
Subtracting 70 from both sides of the equation, It becomes
10x + 70 - 70 = 180 - 70
10x = 110
Dividing both sides of the equation by 10, It becomes
10x/10 = 110/10
x = 11
b) angle C = 2x - 10 = 2 × 11 - 10
Angle C = 22 - 10 = 12 degrees
