Help solving a precalculus problem for my son

Proclivitas · Mar 20, 2012

Homework Statement

Geometry diagram of a circle with center o, tangent line pr touching the circle at x, chord ax and chord bx with point b on the arc, and the caption Given Tangent PR at point X; BX bisects Angle AXP; Prove B is the midpoint of Arc ABX.

Homework Equations

The Attempt at a Solution

This isn't for me, my son asked me to solve this, and I don't remember high school math, seeing that it isn't my field of study.

scurty · Mar 20, 2012

Can you reupload the image to a free image hosting site (http://imgur.com/, imageshack.us, etc)? I can't view that image as I'm not a member of Math Help Forum.

Proclivitas · Mar 20, 2012

scurty said:

Can you reupload the image to a free image hosting site (http://imgur.com/, imageshack.us, etc)? I can't view that image as I'm not a member of Math Help Forum.

Circle with centre o, tangent line PR touching the circle at point X, chord AX, and chord BX with B on the arc above, labelled a, b, x, o, p and r; caption: Given Tangent PR at point X; BX bisects Angle AXP. Prove B is the midpoint of Arc ABX.

HallsofIvy · Mar 20, 2012

Use the theorem that states that the measure of an angle, having vertex on the circumference of a circle, is half the measure of the arc subtended by the angle.

Help solving a precalculus problem for my son

Homework Statement

Homework Equations

The Attempt at a Solution

Discussion

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