tag:blogger.com,1999:blog-6933544261975483399.post4444424812071452939..comments2024-03-26T19:10:02.918-07:00Comments on Go Geometry (Problem Solutions): Geometry Problem 1506: Parallel Rays, Angles. Difficulty Level: High SchoolAntonio Gutierrezhttp://www.blogger.com/profile/04521650748152459860noreply@blogger.comBlogger2125tag:blogger.com,1999:blog-6933544261975483399.post-54067513983466738422024-01-09T20:38:43.193-08:002024-01-09T20:38:43.193-08:00220 ?220 ?MateManiahttps://www.blogger.com/profile/02215817700048635017noreply@blogger.comtag:blogger.com,1999:blog-6933544261975483399.post-74971811791659358112023-02-16T21:26:42.611-08:002023-02-16T21:26:42.611-08:00Draw lines thro' B, E and D parallel to L1 and...Draw lines thro' B, E and D parallel to L1 and L2<br /><br />Let CD make an angle y with the parallel lines and let EF make an angle x with the parallel lines<br /><br />We can thus write 3 equations considering that 2 angles of a triangle add up to the exterior angle of the 3rd<br /><br />x + F = 140<br />y + D = E + x<br />B + (180 - 130) = C + y<br /><br />Adding the 3 equations we get x + y + B + D + F + 50 = C + E + x + y + 140<br />From which 210 +50 = C + E + 140 so that<br /><br />C + E = 120<br /><br />Sumith Peiris<br />Moratuwa<br />Sri LankaSumith Peirishttps://www.blogger.com/profile/06211995240466447227noreply@blogger.com