Question

solve for x.

1. x + 71 41° 69°

Explanation:

Step1: Use the triangle - angle sum theorem

The sum of the interior angles of a triangle is \(180^{\circ}\). So, \((x + 71)+69 + 41=180\).

Step2: Simplify the left - hand side of the equation

First, add the constant terms: \(71+69 + 41=181\). The equation becomes \(x+181 = 180\).

Step3: Solve for \(x\)

Subtract \(181\) from both sides of the equation: \(x=180 - 181\).

Answer:

\(x=-1\)