Answer:
x = 20. ∠B = 92° and ∠C = 40°
Step-by-step explanation:
Angles of a triangle are ∠A = 48°, ∠B = (6x - 28)° and ∠C = (2x)°
Since sum of all the angles of the triangle is 180°
So ∠A + ∠B + ∠C = 180°
48° + (6x - 28)° + (2x)° = 180°
48 + 6x - 28 + 2x = 180
8x + 20 = 180
8x = 180 - 20
8x = 160
x = [tex]\frac{160}{8}=20[/tex]
Now ∠B = (6x - 28) = 6×20 - 28
∠B = 120 - 28 = 92°
And ∠C = 2x° = 2×20 = 40°
Therefore, x = 20. ∠B = 92° and ∠C = 40° is the answer.
