Question

solve for the value of r.

Explanation:

Step1: Set up equation

The two angles are complementary (sum to 90°). So, we have the equation $9r + 2+70=90$.

Step2: Simplify left - hand side

Combine like terms: $9r+(2 + 70)=9r + 72$. So the equation becomes $9r+72 = 90$.

Step3: Isolate the term with r

Subtract 72 from both sides: $9r+72-72=90 - 72$, which simplifies to $9r=18$.

Step4: Solve for r

Divide both sides by 9: $\frac{9r}{9}=\frac{18}{9}$, so $r = 2$.

Answer:

$r = 2$