Question

If (x+9 )⁰ and (3x−5)⁰ are two complementary angles, then find
the value of x.

Answer 1

       $\underline{\bold{Answer:}}$

       $23.5^{o}$

       $\underline{\bold{Step-by-step-explaination:}}$

       $\text{The given angles are }(x+9)^{o} \text{ and }(3x-5)^{o}$

       $\text{It is also given that the angles are complimentary.}$

       $\boxed{\text{Complimentary angles are those angles whose sum is }90^{o}}$

$\implies \boxed{x+ 9 + 3x - 5 = 90^{o}}$

$\implies \boxed{4x + 4 = 90^{o} }$

$\implies \boxed{4x = 90 + 4}$

$\implies \boxed{4x = 94^{o} }$

$\implies \boxed{x = \frac{94}{4}^{o} }$

$\implies \boxed{x = \frac{47}{2}^{o} }$

$\implies \boxed{x = 23.5^{o}}$