Question

find the value of x.
14.
296°
35°
(x - 119)°

Explanation:

Step1: Use the full - angle property

A full - angle is \(360^{\circ}\). So, \(35+(x - 119)+(360 - 296)=360\).

Step2: Simplify the equation

First, simplify \(360−296 = 64\). The equation becomes \(35+(x - 119)+64 = 360\).
Then, combine like terms: \(35+64-119+x=360\), \(99 - 119+x=360\), \(- 20+x=360\).

Step3: Solve for \(x\)

Add \(20\) to both sides of the equation: \(x=360 + 20\).

Answer:

\(x = 380\)