Question

find the value of x.

Explanation:

Step1: Recall angle - sum property

The sum of angles around a point is 360°.

Step2: Set up the equation

We have a right - angle (90°), an angle of 125°, and an angle of \(5x\) degrees. So, \(125 + 90+5x=360\).

Step3: Simplify the left - hand side

First, add 125 and 90: \(125 + 90=215\). The equation becomes \(215+5x = 360\).

Step4: Solve for \(x\)

Subtract 215 from both sides: \(5x=360 - 215\), so \(5x = 145\). Then divide both sides by 5: \(x=\frac{145}{5}=29\).

Answer:

29