Answer:
The three angles are 40°, 75°, 65°
Explanation:
Assume that the first angle is x
∵ The second angle is 35° more than the first angle
∴ The second angle is x + 35
∵ The third angle is 25° more than the first angle
∴ The third angle is x + 25
∵ The sum of the angles of a triangle is 180°
→ Add the three angles and equate the sum by 180°
∵ x + x + 35 + x + 25 = 180
→ Add the like terms in the left side
∴ (x + x + x) + (35 + 25) = 180
∴ 3x + 60 = 180
→ Subtract 60 from both sides
∴ 3x + 60 - 60 = 180 - 60
∴ 3x = 120
→ Divide both sides by 3 to find x
∴ x = 40
→ Find each angle by substitute x by 40
∵ First angle = x
∴ The first angle = 40°
∵ Second angle = x + 35
∴ The second angle = 40 + 35 = 75°
∵ Second angle = x + 35
∴ The third angle = 40 + 25 = 65°
∴ The three angles are 40°, 75°, 65°