Question

find the value of x.
130°
75°
(x - 4)°
f
g
c
b
d
x =

Explanation:

Step1: Set up an equation

We know that the sum of the angles around a point is 360°. So, \(75+(x - 4)+130 = 360\).

Step2: Simplify the left - hand side

First, combine like terms: \(75+x - 4+130=(75 - 4+130)+x=201 + x\). So the equation becomes \(201+x = 360\).

Step3: Solve for x

Subtract 201 from both sides of the equation: \(x=360 - 201\).

Answer:

\(x = 159\)