Question

22. . In the figure, it OAB ~ OCD, AOD = 120° and ODB = 80°. Find the measure of
AOB and OAB​

Answer 1

<AOD+<AOB=180°(linear pair)

=>120°+<AOB=180°

=> <AOB=180°-120°

=> <AOB=60°

<CDO=<OBA(alternate interior angles)

<OBA=80°

<AOB+<OBA+<OAB=180°(angle sum property of triangle)

=>60°+80°+<OAB=180°

=>140°+<OAB=180°

=> <OAB=180°-140°

=> <OAB=40°

Hence,value of <AOB=60° and <OAB=40°.

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