Question

directions: find the value of the variable(s) in each figure. show your work.
17)
(3y - 1)°
40°
(5x)°

Explanation:

Step1: Find the value of \(x\)

Since \(5x\) and \(40^{\circ}\) are vertical angles, they are equal.

$$5x = 40$$

$$x=\frac{40}{5}=8$$

Step2: Find the value of \(y\)

Since \((3y - 1)\) and \(40^{\circ}\) are supplementary angles (because they form a linear pair), their sum is \(180^{\circ}\).

$$3y-1 + 40=180$$

$$3y+39 = 180$$

$$3y=180 - 39$$

$$3y=141$$

$$y=\frac{141}{3}=47$$

Answer:

\(x = 8\) and \(y = 47\)