Question

find the measure of ∠kyf. k y 6h + 117 f 4h + 73 c

Explanation:

Step1: Set up an equation

Since $\angle KYF$ and $\angle FY C$ are complementary (the right - angle symbol indicates the sum of these two angles is $90^{\circ}$), we have $(6h + 117)+(4h+73)=90$.

Step2: Combine like terms

Combining the $h$ terms and the constant terms on the left - hand side gives $6h+4h + 117+73=90$, which simplifies to $10h+190 = 90$.

Step3: Solve for $h$

Subtract 190 from both sides: $10h=90 - 190=-100$. Then divide both sides by 10: $h=\frac{-100}{10}=-10$.

Step4: Find the measure of $\angle KYF$

Substitute $h = - 10$ into the expression for $\angle KYF$ which is $6h + 117$. So, $\angle KYF=6\times(-10)+117=-60 + 117 = 57^{\circ}$.

Answer:

$57^{\circ}$