Ella created a board game that instructs players to roll a standard 6-sided number cube and pick a marble out of a bag without looking. on colin's turn, the bag contains 1 red marble, 1 blue marble, and 1 green marble. if colin can win the game by either rolling a "6" or choosing the red marble, what is the probability that colin wins the game?

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq