Question

find the value of x.
141°
(4x + 4)°
87°
x =

Explanation:

Step1: Recall angle - sum property

The sum of angles around a point is 360°. So, \(141^{\circ}+87^{\circ}+(4x + 4)^{\circ}=360^{\circ}\).

Step2: Simplify the left - hand side

First, add the non - variable angles: \(141 + 87=228\). The equation becomes \(228+(4x + 4)=360\). Combine like terms: \(4x+232 = 360\).

Step3: Solve for x

Subtract 232 from both sides: \(4x=360 - 232\). So, \(4x = 128\). Then divide both sides by 4: \(x=\frac{128}{4}\).

Answer:

32