Question

what is the value of a? a - 50° a a + 50° a =

Explanation:

Step1: Apply angle - sum property of a triangle

The sum of the interior angles of a triangle is 180°. The interior angles of the triangle are \(a - 50^{\circ}\), \(a\), and \(180^{\circ}-(a + 50^{\circ})\). So, \((a-50)+a+(180-(a + 50))=180\).

Step2: Simplify the left - hand side of the equation

First, expand the terms: \((a-50)+a+(180 - a-50)=180\). Combine like - terms: \((a + a - a)+(-50+180 - 50)=180\), which simplifies to \(a + 80=180\).

Step3: Solve for \(a\)

Subtract 80 from both sides of the equation \(a+80 = 180\). We get \(a=180 - 80\).

Answer:

\(a = 100\)