Question

Can you solve it !!!!

Answer 1

∠A and ∠B are opposite interior angles, which means they are equal to each other. Make them equal to each other in an equation.

∠A = ∠B ⇒ 5x - 12 = 2x + 24
                        Add 12 to both sides.
 
                        5x = 2x + 36
                        Subtract 2x from both sides.

                        3x = 36
                        Divide both sides by 3.
      
                        x = 12

Now plug x into the equation for ∠B.
2x + 24 ⇒ 2(12) + 24 = 48

∠B = 48°