Question

the figure shown is a triangle with three unknown angles. first, write an expression for the sum of the angle measures of the triangle.

Explanation:

Step1: Recall Triangle Angle Sum

The sum of the interior angles of a triangle is always \(180^\circ\), but here we just need the expression for the sum of the angle measures (using their angle measures notation). The angle measures are \(m\angle1\), \(m\angle2\), and \(m\angle3\). To find their sum, we add them together.

Step2: Write the Sum Expression

Using the addition operation, the sum of the angle measures is \(m\angle1 + m\angle2 + m\angle3\).

Answer:

\(m\angle1 + m\angle2 + m\angle3\)