Answer the following questions? 1) What the angle vertical to ∠NOM 2) What is the angle vertical to ∠TLK 3) Identify the pair of angles supplementary to ∠NOM 4) What the measurement of angles ∠1, ∠2, and ∠3 5) What is the measure of exterior ∠OPS?

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1 Answer
Shwetank Mauria
Dec 21, 2016

Please see below.

Explanation:

(1) The angle vertically opposite to #/_NOM# is #/_LOP# i.e. #/_2#.

(2) The angle vertically opposite to #/_TLK# is #/_OLP# i.e. #/_1#.

(3) The pair of angles supplementary to #/_NOM# are #/_MOP# and #/_NOL#.

(4) As #/_2# is vertically opposite to angle #/_NOM=97^@#, #/_2=97^@#; #/_1# is vertically opposite to angle #/_TLK=42^@#, #/_2=42^@#. Hence as sum of the angles of a triangeis #180^@#, #/_3=180^@-97^@-42^@=41^@#.

(5) As #/_3=41^@# and #/_OPS# is supplementary to this, #/_OPS=180^@-41^@=139^@#.

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