Rápido y fácil, trigonometría. Urgente porfavor

The angle measures approximately

Step-by-step explanation:

Since this problem involves the finding of an angle in a right angle triangle for which we know the opposite side and the adjacent side, the trigonometric function that relates them is the tangent:

Then, for our case we get a starting equation that reads:

and for which we need to solve for . Then we use the arctangent function to get the final

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