Question

solve for the value of k.

Explanation:

Step1: Set up the equation

The sum of the two angles $(2k + 3)^{\circ}$ and $(4k-3)^{\circ}$ is $90^{\circ}$ (since they form a right - angle). So, $(2k + 3)+(4k - 3)=90$.

Step2: Simplify the left - hand side

Combine like terms: $2k+4k+3 - 3=90$. This simplifies to $6k=90$.

Step3: Solve for k

Divide both sides of the equation $6k = 90$ by 6. So, $k=\frac{90}{6}$.

Answer:

$k = 15$