Question

question solve for the value of r. answer attempt 1 out of 2 r =

Explanation:

Step1: Set up equation

Since the sum of the two - angles is 90° (right - angle), we have the equation $(2r + 4)+(r + 5)=90$.

Step2: Combine like terms

Combine the $r$ terms and the constant terms: $2r+r+4 + 5=90$, which simplifies to $3r+9 = 90$.

Step3: Isolate the term with $r$

Subtract 9 from both sides of the equation: $3r+9−9=90 - 9$, resulting in $3r=81$.

Step4: Solve for $r$

Divide both sides by 3: $\frac{3r}{3}=\frac{81}{3}$, so $r = 27$.

Answer:

$r = 27$