

Multiply both numerator and denominator of
by the complex conjugate of the denominator, -2+9i.

Multiplication can be transformed into difference of squares using the rule:
.

By definition, i² is -1. Calculate the denominator.

Multiply complex numbers 5-3i and -2+9i in the same way as you multiply binomials.

Do the multiplications in
.

Combine the real and imaginary parts in -10+45i+6i+27.

Do the additions in
.

Divide 17+51i by 85 to get
.

The real part of
is
.

Answer:
Step-by-step explanation:
let each angle=A
A+A+A=180
3A=180
A=180/3=60°
as the angles are equal so sides are equal.
16+y=46
y=46-16=30
applying sine formula

z+x=60
40+x=60
x=60-40=20°