Answer:
∠A = 48°, ∠B = 48°, and ∠C = 84°
Step-by-step explanation:
AB = CB Given
m ∠A = m ∠C If opposite sides are =, then those opposite angles are =
6(x - 3) = 4(x + 1)
6x - 18 = 4x + 4
2x - 18 = 4
2x = 22
x = 11
m ∠A = 6(11 - 3) = 6(8) = 48°
m ∠C = 4(11+ 1) = 4(12) = 48°
The sum of the angles in a triangle = 180°
48° + 48° m ∠B = 180°
96°+ m ∠B = 180°
84° = m ∠B
