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Let [tex]K[/tex] be a circle with centre [tex]O[/tex]. A second circle [tex]L[/tex] passes through [tex]O[/tex] and cuts [tex]K[/tex] at two other points [tex]A[/tex] and [tex]B[/tex]. Let [tex]P[/tex] be a point on arc [tex]AOB[/tex] and extend line segment [tex]BP[/tex] to intersect [tex]K[/tex] at a second point [tex]Q[/tex]. Prove that the bisector of angle [tex]APQ[/tex] passes through [tex]O[/tex].

Respuesta :

The bisector of angle APQ passes through O and this is illustrated below.

How to illustrate the information?

From the information given, the center is O. and the circle passes through O and cuts at K.

In this case, it should be noted that the circles are equal according to the SAS test.

Here, AOB + APQ = 180° (Linear pair)

2AOB = 180

AOB = 90.

Therefore, the bisector of angle APQ passes through O.

Learn more about bisector on:

brainly.com/question/11006922

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