If a chord of a circle is known to divide the circle into two parts of 1:3, then the degree of the angle of the circle to which the chord is directed is______ ．

If a chord of a circle is known to divide the circle into two parts of 1:3, then the degree of the angle of the circle to which the chord is directed is______ ．

The ⊙ chord AB divides ⊙ o into two parts of 1:3, the ⊙ AOB = 14 × 360 ° = 90 °, the ⊙ ACB = 12 ⊙ AOB = 45 °, the ⊙ quadrilateral ADB is the inscribed quadrilateral of ⊙ o, and the ⊙ ADB = 180 ° - ⊙ ACB = 135 °. The degree of the circumference angle of this chord is 45 ° or 135 °. So the answer is 45 ° or 135 °

In the same circle or equal circle, the circle angles of equal chord are equal or complementary. Why

There are two arcs of equal chord, one superior arc and one inferior arc. These two arcs just form a circle, so the circular angles of these two arc pairs complement each other. If they are the circular angles of the same arc pair, they are equal

There are two circular angles of a string?
Is there any way to draw it?

There is a superior arc and a inferior arc on both sides of the chord, corresponding to an angle respectively;