When line AC intersects line BD at Point O, the value of x is equal to 13°.
How to measure the angle of two intersecting lines?
When two straight lines intersect, they create two sets of angles. The intersection forms a pair of acute and obtuse angles.
We have given, line AC intersects line BD at Point O.
m∠BOC = (3x + 1)°
m∠COD = (11x − 3)°
Now, ∠BOC and ∠COD are angles made by the intersection of two straight lines. The angle made on a straight line is equal to 180°.
Therefore, we have the expression: ∠BOC + ∠COD = 180°
3x + 1 + 11x - 3 = 180
14x - 2 = 180
14x = 180 + 2
14x = 182
x = 182/14
x = 13°
Therefore, option A is correct.
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