A student inscribes a triangle inside a circle. The triangle divides the circle into arcs with the following measures: 46°, 102°, and 212°. What are the measures of the angles of the triangle?

Question

Mathematics

Edith Gaines

20 September, 02:44

A student inscribes a triangle inside a circle. The triangle divides the circle into arcs with the following measures: 46°, 102°, and 212°. What are the measures of the angles of the triangle?

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Brewster · Answer 1

The angle of each arc is going to equal the measure of the angle opposite the arc ... so the angles of the triangle will also be 46 degrees, 102 degrees, and 212 degrees.

(Look at one of the angles of the triangle and follow it as it opens up all the way to the other side of the circle and you'll see the equivalent arc)