Geometry Problem 1506. Post your solution in the comment box below.
Level: Mathematics Education, K-12 School, Honors Geometry, College.
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Draw lines thro' B, E and D parallel to L1 and L2
ReplyDeleteLet CD make an angle y with the parallel lines and let EF make an angle x with the parallel lines
We can thus write 3 equations considering that 2 angles of a triangle add up to the exterior angle of the 3rd
x + F = 140
y + D = E + x
B + (180 - 130) = C + y
Adding the 3 equations we get x + y + B + D + F + 50 = C + E + x + y + 140
From which 210 +50 = C + E + 140 so that
C + E = 120
Sumith Peiris
Moratuwa
Sri Lanka
220 ?
ReplyDelete