Question

solve for the value of b.

Explanation:

Step1: Recall angle - sum property

The sum of the two non - right angles in a right - triangle is 90°. So, 59°+(8b + 7)°=90°.

Step2: Simplify the equation

First, combine like terms: 59+8b + 7=90, which simplifies to 8b+66 = 90.

Step3: Isolate the variable term

Subtract 66 from both sides of the equation: 8b=90 - 66, so 8b=24.

Step4: Solve for b

Divide both sides by 8: b = \frac{24}{8}=3.

Answer:

3