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