Answer:
∠ A = 35°, ∠ B = 70°, ∠ C = 75°
Step-by-step explanation:
let ∠ A be x then ∠ B is 2x ( twice as large as A ) and
∠ C is 2x + 5 ( 5 more than B )
The sum of the 3 angles in a triangle = 180°
Sum the 3 angles and equate to 180
x + 2x + 2x + 5 = 180, that is
5x + 5 = 180 ( subtract 5 from both sides )
5x = 175 ( divide both sides by 5 )
x = 35
Thus
∠ A = x = 35°
∠ B = 2x = 2 × 35° = 70°
∠ C = 2x + 5 = 70 + 5 = 75°
