Question

find x if (mangle vfg=x + 80), (mangle efg = 140^{circ}), and (mangle efv=x + 70). answer attempt 1 out of 3 x=

Explanation:

Step1: Use angle - addition postulate

We know that \(m\angle EFG=m\angle EFV + m\angle VFG\). Substitute the given angle - measures: \(140=(x + 70)+(x + 80)\).

Step2: Simplify the right - hand side

Combine like terms: \(140=x + 70+x + 80=2x+150\).

Step3: Solve for \(x\)

Subtract 150 from both sides: \(140−150 = 2x\), so \(- 10 = 2x\). Then divide both sides by 2: \(x=\frac{-10}{2}=-5\).

Answer:

\(-5\)