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