Respuesta :

Answer:

x=20

Step-by-step explanation:

Complementary = 2 angles which = 90 degrees

so 2x+10 + x+20 =90

combine like terms

3x+30=90

    -30  -30

3x=60

x=20

lets check!        (2(20)+10) + (20+20)

                           50       +        40  =90 degrees

Answer:

x = 20

angle 1 = 50

angle 2 = 40

Step-by-step explanation:

complementary angles add up to 90

so, you can make this equation:

2x + 10 + x + 20 = 90

combine like terms

2x + x + 10 + 20 = 90

3x + 30 = 90

subtract 30 from both sides of the equation

3x + 30 - 30= 90 - 30

3x = 90 - 30

3x = 60

divide both sides of the equation by 3

3x/3 = 60/3

x = 60/3

x = 20

now, plug x into the angles:

2x + 10

2 * 20 + 10

40 + 10

the first angle is 50°

x + 20

20 + 20

the second angle is 40