Question

the measure of \\( \angle dax \\) can be calculated. \\( m \angle dax = \\)

Explanation:

Step1: Calculate the sum of known angles

We know that a straight - line angle is \(180^{\circ}\). The sum of the non - \(\angle DAX\) angles at point \(A\) is \(20^{\circ}+20^{\circ}+40^{\circ}=80^{\circ}\).

Step2: Find the measure of \(\angle DAX\)

Using the property that the sum of angles around a point on a straight line is \(180^{\circ}\), we have \(m\angle DAX = 180^{\circ}-(20^{\circ}+20^{\circ}+40^{\circ})\).

$$m\angle DAX=180^{\circ}-80^{\circ}$$

Answer:

\(100\)