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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