Find an angle which is 1/4 of its supplement

answer:

let the two angles be x and x/4, so that

x + x/4 = 5x/4 = 180 or x = 4*180/5 = 144 deg.

so the two supplementary angles are 144 deg and 36 deg.

step-by-step explanation:

one of each metals

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