Question

1. x = (6x - 7)° (103 - x)° 2x°

Explanation:

Step1: Use the exterior angle theorem

The exterior angle theorem states that an exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(6x - 7=(103 - x)+2x\).

Step2: Simplify the right - hand side of the equation

Simplify \((103 - x)+2x\) to \(103 + x\). The equation becomes \(6x-7 = 103+x\).

Step3: Solve for \(x\)

Subtract \(x\) from both sides: \(6x - x-7=103+x - x\), which gives \(5x-7 = 103\).
Add 7 to both sides: \(5x-7 + 7=103 + 7\), so \(5x=110\).
Divide both sides by 5: \(x=\frac{110}{5}\).

Answer:

\(x = 22\)