Question

ZA and B are supplementary angles. If mA = (7x + 7)° and m

Answer 1

Answer:

∠B = 54 °

Step-by-step explanation:

If sum of two angles add up to 180°, then the two angles are called supplementary.

   m∠A + m ∠B = 180°

7x + 7 + 4x - 14 = 180

7x + 4x + 7 - 14 = 180

        11x  - 7       = 180

                    11x = 180 + 7

                     11x = 187

                        x = 187 ÷ 11

                       $\sf \boxed{x = 17^\circ}$

m∠B = 4x - 14

        = 4*17 - 14

         = 68 - 14

$\sf \boxed{\bf \angle B = 54^\circ}$