Answer:
x = 20
B = 92°
C = 40°
Step-by-step explanation:
The sum of the interior angles of a triangle is 180°
⇒ A + B + C = 180°
⇒ 48 + (6x - 28) + 2x = 180
⇒ 48 + 6x - 28 + 2x = 180
⇒ 48 - 28 + 6x + 2x = 180
⇒ 20 + 8x = 180
⇒ 8x = 180 - 20
⇒ 8x = 160
⇒ x = 160 ÷ 8
⇒ x = 20
Now we have found x, simply substitute this into the expressions for angles B and C:
B = 6(20) - 28
= 120 - 28
= 92°
C = 2(20)
= 40°
