Question

1. t s 5x + 10 58° 11x + 2 u a

Explanation:

Step1: Recall Exterior Angle Theorem

The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(11x + 2=(5x + 10)+58\).

Step2: Simplify the equation

First, expand the right - hand side: \(11x+2 = 5x+10 + 58\). Then, combine like terms on the right - hand side: \(11x+2=5x + 68\).

Step3: Solve for x

Subtract \(5x\) from both sides: \(11x-5x+2=5x - 5x+68\), which gives \(6x+2 = 68\). Then, subtract 2 from both sides: \(6x+2 - 2=68 - 2\), so \(6x=66\). Divide both sides by 6: \(x=\frac{66}{6}=11\).

Answer:

\(x = 11\)