A classmate is having difficulty finding the measures of

Question

A classmate is having difficulty finding the measures of <BGE and <BDG in the diagram below. What mathematical advice would you give them? Be sure to address the information they would need and describe how they would find these angle measures.

simplymarie_x · Answer

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shadowlegendx · Answer

You will need to know how to solve for arcs, tangents and inscribed angles.

simplymarie_x · Answer

I'm really bad at everything in Geometry. :/

shadowlegendx · Answer

Angle BGE is 1/2 of Arc BE.

Following the formula

Inscribed Angle = 1/2 of Minor Arc

shadowlegendx · Answer

Solve for angle BDG by using 

Angle  = 180 - Minor Arc

shadowlegendx · Answer

Angle B = 180 - Minor Arc BG

shadowlegendx · Answer

Do you get it?

mathmate · Answer

For more information, see: http://www.regentsprep.org/regents/math/geometry/gp15/circleangles.htm Items 2 and 5 pertain to this problem.