Question

find the value of x.
140° (5x)°
x =

Explanation:

Step1: Recall angle - sum property

The sum of angles around a point is 360°. At point H, we have a right - angle (90°), a 140° angle, and an angle of (5x)°.

Step2: Set up the equation

90 + 140+5x=360.

Step3: Simplify the left - hand side

230 + 5x=360.

Step4: Isolate the variable term

Subtract 230 from both sides: 5x=360 - 230, so 5x = 130.

Step5: Solve for x

Divide both sides by 5: x=\frac{130}{5}=26.

Answer:

26