Question

a triangle has two angles with measures of 50 degrees and 70 degrees joined by a side with a length of 20 centimeters. which figure represents this triangle?

Explanation:

Step1: Check the angle - side relationship

In a triangle, the side is between the two given angles. The second figure has the side of length \(20\) centimeters between the \(50^{\circ}\) and \(70^{\circ}\) angles.
The first figure has angles \(20^{\circ},50^{\circ},70^{\circ}\) (sum of angles in a triangle is \(180^{\circ}\), but the side - angle relationship is wrong as the side is not between \(50^{\circ}\) and \(70^{\circ}\)). The third figure has angles \(20^{\circ},50^{\circ},70^{\circ}\) with an incorrect side - angle adjacency. The fourth figure has no angle measures labeled.

Answer:

The second figure (the one with \(50^{\circ}\) and \(70^{\circ}\) angles adjacent to the side of length \(20\) centimeters) represents the triangle.