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prohojiy [21]
2 years ago
15

Let be a circle

with centre O. A second circle L passes through O and cuts K at two other points A and B. Let P be a point on arc AOB and extend line segment BP to intersect K at a second point Q. Prove that the bisector of angle APQ passes through O.
Mathematics
1 answer:
yan [13]2 years ago
8 0

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

<h3>How to illustrate the information?</h3>

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

#SPJ1

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