Answer:
Option A is correct.
70 degree
Step-by-step explanation:
In a given circle A:
[tex]m\angle BEC =290^{\circ}[/tex]
To find the measure of [tex]\angle BAC[/tex].
We know that a complete circle is of 360 degree
[tex]\angle BEC + \angle BAC = 360^{\circ}[/tex]
Substitute the given values we have;
[tex]290^{\circ}+ \angle BAC = 360^{\circ}[/tex]
Subtract 290° from both sides we get;
[tex]\angle BAC = 360^{\circ}-290^{\circ}[/tex]
Simplify:
[tex]\angle BAC = 70^{\circ}[/tex]
Therefore, the measure of [tex]\angle BAC[/tex] is, 70 degree
