Question

∠A and \angle B∠B are complementary angles. If m\angle A=(2x+30)^{\circ}∠A=(2x+30)

Answer 1

Answer:

∠A = 48

Step-by-step explanation:

∠A + ∠B = 90   ( Complementary angles)

2x + 30 + 6x - 12 = 90

Combine like terms

2x + 6x +30 - 12 = 90

              8x  + 18 = 90   {subtract 18 form both sides}

                       8x = 90 - 18

                      8x = 72  {Divide both sides by 8}

                  8x/8 = 72/8

x = 9

∠A = 2x + 30

     = 2*9 + 30

     = 18 + 30

∠A = 48

Answer 2

Answer:

x =21

Step-by-step explanation:

So we know that:

And that the two angles are vertical angles.

Since they are vertical angles, their measurements are equivalent. Thus, to find x, set the equations equal to each other:

Now, solve for x. Add 30 to both sides. The left side cancels:

Now, subtract 2x from both sides. The right cancels:

Thus, the value of x is 21.