Question

warm - up math talk: supplementary angles
mentally evaluate all of the missing angle measures in each figure.
1
2

Explanation:

Step1: Recall the definition of supplementary angles

Supplementary angles are two angles whose sum is \(180^{\circ}\).

Step2: Calculate the missing angle in the first figure

Let the missing angle be \(x\). We know that \(x + 50^{\circ}=180^{\circ}\). So \(x = 180^{\circ}- 50^{\circ}=130^{\circ}\).

Step3: Calculate the missing angle in the second figure

Let the missing angle be \(y\). We know that \(y+65^{\circ}=180^{\circ}\). So \(y = 180^{\circ}-65^{\circ}=115^{\circ}\).

Answer:

The missing angle in the first figure is \(130^{\circ}\) and the missing angle in the second figure is \(115^{\circ}\).