Question

ABCD is a polygon with AB parallel to DC and AB =BC = BD.
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Answer 1

D. m<DBC = 68°

Explanation:

AB || BD

<A and <ADC are supplementary.

m<A + m<ADC = 180°

62° + m<ADC = 180°

m<ADC = 118°

AB = BD

m<A = m<ADB = 62°

m<ADC = m<ADB + m<CDB

118° = 62° + m<CDB

m<CDB = 56°

BC = BD

m<CDB = m<C = 56°

m<DBC + m<CDB + m<C = 180°

m<DBC + 56° + 56° = 180°

m<DBC = 68°