the measures of two complementary angles are 10x 1 and 13x 3 what is the value of x

Question

the measures of two complementary angles are 10x 1 and 13x 3 what is the value of x

Answer 1

complementary angles sum to 90 degrees, so

10x+1 + 13x+3 = 23x +4 = 90

23x = 90-4 = 86

x = 86/23 = about 3.74

that's assuming you mean 10x 1 and 13x 3 to have + signs between them?

IF by chance you intended them as exponents, then 10x^1 + 13x^3 = 90

13x^3 + 10x -90 = 0

there are 3 potential solutions. One solution is between x = 1 and x = 2, maybe a little less than x=1.8

the other 2 solutions seem to be imaginary, not real numbers.