Angles A and B are complementary to each other. If m∠A = 41° and m∠B = (2x + 19)°, find the value of x. (2 points) x = 11 x = 30 x = 58 x = 15



Answer :

Answer:

x =15

Step-by-step explanation:

Complementary angles:

If the sum of any two angles is 90°, then they are called complementary angles.

∠A + ∠B = 90°

41° + 2x + 19 = 90

        2x + 60 = 90

Subtract 60 from both sides,

                  2x = 90 - 60

                  2x = 30

Divide both sides by 2,

                     x = 30÷2

                     x = 15

[tex]\boxed{\bf x =15}[/tex]