Question

identifying angles of a triangle
given (\triangle ghj), complete the following statements
the included angle of sides (overline{jg}) and (overline{gh}) is angle
angle (h) is the opposite angle to side
the side opposite to (angle j) is side

Explanation:

Step1: Find the included angle of sides \(JG\) and \(GH\)

The included angle of two sides is the angle formed by those two sides. Sides \(JG\) and \(GH\) meet at vertex \(G\), so the included angle is \(\angle G\).

Step2: Find the side opposite to angle \(H\)

In a triangle, the side opposite an angle is the side that does not form the angle. Angle \(H\) is formed by sides \(JH\) and \(GH\), so the side opposite to \(\angle H\) is \(JG\).

Step3: Find the side opposite to \(\angle J\)

Angle \(J\) is formed by sides \(JH\) and \(JG\), so the side opposite to \(\angle J\) is \(GH\).

Answer:

The included angle of sides \(JG\) and \(GH\) is \(\angle G\). Angle \(H\) is the opposite angle to side \(JG\). The side opposite to \(\angle J\) is side \(GH\).