Daily Regents: Parallelograms (June 2015) Geometry

I'll be reviewing a New York State Regents Exam Question every day from now until the Regents exams next week. At least, that is the plan.

Geometry, June 2015, Questions 26

26. The diagram below shows parallelogram LMNO with diagonal LN, m<M = 118^o, and m<LNO = 22^o.
Explain why m<NLO is 40 degrees.

The opposite angles of a parallelogram are congruent. Therefore, m<O = 118^o.
Triangle LNO has 180 degrees, so m<NLO + m<LON + m<LNO = 180
m<NLO + 118 + 22 = 180
m<NLO + 140 = 180
m<NLO = 40 degrees.

Any questions?

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