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first solve for x and plug back in to find eac 11. triangle abc with an…

Question

first solve for x and plug back in to find eac
11.
triangle abc with angle at b is 135°, angle at c is 25°, angle at a is 5x

Explanation:

Step1: Recall triangle angle sum

The sum of angles in a triangle is \(180^\circ\). So, \(5x + 135^\circ + 25^\circ = 180^\circ\).

Step2: Simplify the equation

Combine like terms: \(5x + 160^\circ = 180^\circ\). Subtract \(160^\circ\) from both sides: \(5x = 180^\circ - 160^\circ = 20^\circ\).

Step3: Solve for x

Divide both sides by 5: \(x = \frac{20^\circ}{5} = 4^\circ\).

Answer:

\(x = 4\)