Na figura temos representado um ângulo inscrito e um ângulo central, determinados pelo mesmo arco. Se a medida do arco é de 120º, quando devem medir os ângulos inscrito e central, respectivamente a) 240º e 120º

b) 120º e 60º

c) 60º e 30º

d) 120º e 240º

step-by-step explanation:

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

c.

step-by-step explanation: it's not a. because 1/3 x 1/3 x 1/3 = 1/27 so that's not correct. | b. is also not correct because 7 x 7 1/3 is not actually 3 x 7 1/3 . and for d. multiplications are not additions so that left you with c. ( hope this out : d )