Question

find the value of x.
140°
(5x)°
n
g
x =

Explanation:

Step1: Find the angle adjacent to \(140^{\circ}\)

Adjacent angles on a straight line sum to \(180^{\circ}\). So the adjacent angle to \(140^{\circ}\) is \(180 - 140=40^{\circ}\).

Step2: Use the sum of angles around a point

The sum of angles around point \(N\) (a right - angle is \(90^{\circ}\)). So \(40 + 90+5x = 180\) (since angles around a point on a straight line sum to \(180^{\circ}\)).
Simplify the equation: \(130+5x = 180\).
Subtract \(130\) from both sides: \(5x=180 - 130\).
\(5x = 50\).
Divide both sides by \(5\): \(x=\frac{50}{5}\).

Answer:

\(x = 10\)