*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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