The angle measure of a straight line is (180) degrees As given in the picture, line (AC) is a straight line, thus its angle measure is (180) degrees. Angles (ABD) and (DBC) make up line (AC). Therefore, one can conclude that the sum of angles (ABD) and (DBC) is (180) degrees. Form an equation, simplify and use inverse operations to solve for the unknown parameter (q).
Is this a question on your test or something? I know trying out every number and letter would be difficult. There is a way to solve these types of problems. Ask your math teacher, or someone that knows this or has taught this.