tag:blogger.com,1999:blog-6933544261975483399.post2248132916014546656..comments2024-03-26T19:10:02.918-07:00Comments on Go Geometry (Problem Solutions): Geometry Problem 1521: Unlock the Secret to Finding the Measure of an Angle in a Triangle with Two Sides as Diameters of Circles. Difficulty Level: High School.Antonio Gutierrezhttp://www.blogger.com/profile/04521650748152459860noreply@blogger.comBlogger5125tag:blogger.com,1999:blog-6933544261975483399.post-43132352982401729262023-03-24T17:01:17.347-07:002023-03-24T17:01:17.347-07:00Again one comment is deleted : https://photos.app....Again one comment is deleted : https://photos.app.goo.gl/CxQ2Xvm1BvtF8zg19c.t.e.o.noreply@blogger.comtag:blogger.com,1999:blog-6933544261975483399.post-41592146703860878122023-03-07T10:01:04.638-08:002023-03-07T10:01:04.638-08:00https://photos.app.goo.gl/KzkMvaHgbfKy5cqt7https://photos.app.goo.gl/KzkMvaHgbfKy5cqt7c.t.e.o.noreply@blogger.comtag:blogger.com,1999:blog-6933544261975483399.post-33135775237812276892023-03-06T19:22:50.862-08:002023-03-06T19:22:50.862-08:00https://photos.app.goo.gl/kYPKJjPWmLn4TNQd7
Note ...https://photos.app.goo.gl/kYPKJjPWmLn4TNQd7<br /><br />Note that BOE and BQD are isosceles triangles<br />See sketch for angles d, o, q and e<br />We have d= 90-½.q<br />And e=90-½. o<br />So d+e= 180-½(q+o)<br />But q+o= 180- ∡(ABC)= 140<br />So d+e= 110<br />And∡(DBE)= 180-(d+e)= 70<br />Peter Tranhttps://www.blogger.com/profile/02320555389429344028noreply@blogger.comtag:blogger.com,1999:blog-6933544261975483399.post-4648175763946328832023-03-06T15:14:31.413-08:002023-03-06T15:14:31.413-08:00Let <QBD = < QDB = p and let < OBE = <...Let <QBD = < QDB = p and let < OBE = < OEB = q<br /><br />In Triangle OQB, <br />(p+p-40) + (q + q - 40) = 140<br />So p + q = 220/2 = 110<br /><br />Hence < DBE = p + q - 40 = 70<br /><br />Sumith Peiris<br />Moratuwa<br />Sri LankaSumith Peirishttps://www.blogger.com/profile/06211995240466447227noreply@blogger.comtag:blogger.com,1999:blog-6933544261975483399.post-64533835280865296202023-03-06T13:26:20.213-08:002023-03-06T13:26:20.213-08:00DBE = 70° (It will be explained on the sketch)DBE = 70° (It will be explained on the sketch)c.t.e.o.noreply@blogger.com