Question

What is the measure in each angle? A? B? C?

Answer 1

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