Answer: The measure of the angle [tex]DAC[/tex] is 155.
Step-by-step explanation:
1. By definition, when two lines intersect, a pair of linear angles is formed. These are two adjacent angles that are supplementary, which means that their measures add up 180 degrees.
2. Keeping this on mind, you have:
[tex]m[/tex]∠[tex]BAC+[/tex][tex]m[/tex]∠[tex]DAC=180[/tex]
3. Solve for the angle [tex]DAC[/tex], as following:
[tex]m[/tex]∠[tex]DAC=180-[/tex][tex]m[/tex]∠[tex]BAC[/tex]
[tex]m[/tex]∠[tex]DAC=180-25=155[/tex]
