Geometry

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Lines AB and CD intersect at a point O in such a way that ∠DOB = 5∠COB. What is ∠AOD?

Guest Nov 27, 2021

geno3141 · Answer 1 · 2021-11-27T05:05:07

Angles DOB and COB are supplementary ---> angle(DOB) + angle(COB) = 180^o.

Since angle(DOB) = 5 · angle(COB) ---> 5 · angle(COB) + angle(COB) = 180^o

---> 6 · angle(COB) = 180^o ---> angle(COB) = 30^o

Since angle(AOD) = angle(COB) ---> angle(AOD) = 30^o