Question

Lines AC and BD intersect at point O.

A.9°
B. 10 °
C. 41 °
D. 82 °

Answer 1

41°

Explanation:

AOD and BOC are alternate angles and that makes their measures equal to one another therefore we can write the following equation to find the value of x:

5x - 4 = 4x + 5 transfer like terms to the same side of the equation

5x - 4x = 5 + 4 add/subtract

x = 9 now to find measure of BOC replace x with 9

4*9 + 5 = 41