help pls it’s due soon :/
Chord AB subtends two arcs with measures in the ratio of 1:5. Line PQ is tangent
to the circle at point B. Find the measure of the angle between the tangent and secant AB.

help pls its due soon Chord AB subtends two arcs with measures in the ratio of 15 Line PQ is tangent to the circle at point B Find the measure of the angle betw class=

Respuesta :

Answer:

  • acute: 30°
  • obtuse: 150°

Step-by-step explanation:

The angle between the secant and the tangent will be half the measure of the intercepted arc. The two intercepted arcs total 1+5=6 ratio units and 360°. That means each ratio unit represents 60° of arc. The two arcs are 60° and 300°.

Then the two angles at the tangent and secant are ...

  60°/2 = 30° . . . . . . . the one marked in the attache drawing

  300°/2 = 150°

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