Question

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

Explanation:

Step1: Identify angle - relationship

The two angles \(70^{\circ}\) and \((9r + 2)^{\circ}\) are complementary (since they form a right - angle, \(90^{\circ}\)).

Step2: Set up the equation

The sum of complementary angles is \(90^{\circ}\), so \(70+(9r + 2)=90\).

Step3: Simplify the left - hand side of the equation

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

Step4: Solve for \(r\)

Subtract 72 from both sides: \(9r=90 - 72\), so \(9r=18\). Then divide both sides by 9: \(r=\frac{18}{9}=2\).

Answer:

\(2\)