Given that , find the value of x and of y such that where z* is the complex conjugate of z.

Step-by-step explanation:

Start replacing!

Now two complex numbers are equal if both the real and imaginary parts are equal, which gives you the system of equation

Pick any method to solve it and you'll get

second option

step-by-step explanation:

the measures of a triangle equal 180. use that to find x.

2x+3x+4x=180

9x=180

9x/9=180/9

x=20

now you know x, you know angle a is 40°, angle b is 60°, angle c is 80°.

because angle a is 40°, the first option doesn't work.

because angle b is 60°, the second option does work.

when you add angle a and b, you get 100°. complementary means it equals 90°, so the third option doesn't work.

when you add angle a and c, you get 120°, which is not 100.