Answer:angle A = 21 degrees
Angle B = 80 degrees
Angle C = 79 degrees
Step-by-step explanation:
The sum of the angle in a triangle is 180 degrees. This means that in triangle ABC,
Angle A + angle B + angle C = 180 degrees. Therefore,
2x + 7 + 10x + 10 + 8x + 23 = 180
2x + 10x + 8x + 7 + 10 + 23 = 180
20x + 40 = 180
20x = 180 - 40 = 140
x = 140/20 = 7
Therefore,
Angle A = 2x + 7 = 2 × 7 + 7 = 14 + 7 = 21 degrees
Angle B = 10x + 10 = 10 × 7 + 10 = 70 + 10 = 80 degrees
Angle C = 8x + 23 = 8 × 7 + 23 = 56 + 23 = 79 degrees
