Question

1. find the value of x.

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, \(12x + 12=79+(5x + 3)\).

Step2: Simplify the equation

First, simplify the right - hand side of the equation: \(79+(5x + 3)=5x+82\). Then the equation becomes \(12x + 12=5x + 82\).

Step3: Solve for \(x\)

Subtract \(5x\) from both sides: \(12x-5x + 12=5x-5x + 82\), which gives \(7x+12 = 82\). Then subtract 12 from both sides: \(7x+12-12=82 - 12\), so \(7x=70\). Divide both sides by 7: \(x=\frac{70}{7}=10\).

Answer:

10