Question

determine the value for b assuming that the two horizontal lines displayed are parallel. 92° (3b + 5)° a. 27.67 b. 29.00 c. 32.33 d. 58.33

Explanation:

Step1: Use corresponding - angles property

When two parallel lines are cut by a transversal, corresponding angles are equal. Here, the angle of $92^{\circ}$ and the angle $(3b + 5)^{\circ}$ are corresponding angles. So, we can set up the equation $3b+5 = 92$.

Step2: Solve the equation for $b$

Subtract 5 from both sides of the equation: $3b=92 - 5$. So, $3b=87$. Then divide both sides by 3: $b=\frac{87}{3}$.

Step3: Calculate the value of $b$

$b = 29$.

Answer:

B. 29.00