Geometry Problem

Level: Mathematics Education, High School, Honors Geometry, College.

Click the figure below to see the problem 717 details.

## Monday, January 23, 2012

### Problem 717: Intersecting Circles, Midpoint, Angle, Measurement

Labels:
angle,
arc,
intersecting circles,
measurement,
midpoint

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x = Angle ADB

ReplyDelete(ADB is the angle subtended by arc AB at the circumference of the circle through A,D,B)

= Half of angle AO'B

(AO'B is the angle subtended by arc AB at centre O' of circle through A,D,B)

= Half of (180 deg - angle ACB)

(AO'BC is a cyclic quadrilateral)

= Half of (180 - 50) deg

= 65 deg

x=65 Degrees

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