Question

mentally evaluate all of the missing angle measures in each figure
1

type your answers in the boxes.

Explanation:

Step1: Use the property of a straight - line angle

A straight - line angle measures \(180^{\circ}\). For \(\angle DAB\) and \(\angle DAE\), since \(\angle DAB = 50^{\circ}\) and \(\angle DAB+\angle DAE=180^{\circ}\) (they form a linear pair), we can find \(\angle DAE\) as \(180 - 50=130^{\circ}\).

Step2: Use the property of vertical angles

Vertical angles are equal. \(\angle EAB\) and \(\angle DAB\) are vertical angles. So \(\angle EAB=\angle DAB = 50^{\circ}\)

Answer:

\(\angle DAE = 130^{\circ}\), \(\angle EAB=50^{\circ}\)