Question

solve for the value of r.

Explanation:

Step1: Note angle - sum property

The two angles are complementary, so their sum is 90°. We have the equation $(19r + 2)+70=90$.

Step2: Simplify the left - hand side

$19r+2 + 70=19r + 72$. So, $19r+72 = 90$.

Step3: Isolate the variable term

Subtract 72 from both sides: $19r=90 - 72$. So, $19r=18$.

Step4: Solve for r

Divide both sides by 19: $r=\frac{18}{19}$.

Answer:

$r=\frac{18}{19}$