Question

1. (2n + 20)° (4n - 20)° n° triangle. how can you find the measure of the third

Explanation:

Step1: Recall angle - sum property of a triangle

The sum of the interior angles of a triangle is 180°. So, we set up the equation $(2n + 20)+(4n - 20)+n=180$.

Step2: Simplify the left - hand side of the equation

Combine like terms: $(2n+4n + n)+(20 - 20)=180$, which simplifies to $7n=180$.

Step3: Solve for n

Divide both sides of the equation by 7: $n=\frac{180}{7}\approx25.71$.

Step4: Find the measure of the third angle

The third angle is $n$ degrees. So the measure of the third angle is $\frac{180}{7}\approx25.71^{\circ}$.

Answer:

$\frac{180}{7}\text{ degrees}$ (or approximately $25.71^{\circ}$)