Question

solve for the value of r.

Explanation:

Step1: Identify angle - relationship

The two non - overlapping angles form a right - angle (90°). So, (9r + 2)°+70° = 90°.

Step2: Simplify the equation

9r+2 + 70=90, which simplifies to 9r+72 = 90.

Step3: Isolate the term with r

Subtract 72 from both sides: 9r=90 - 72, so 9r = 18.

Step4: Solve for r

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

Answer:

2