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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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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Answer 1 · 2016-12-21T05:46:52

Please see below.

Explanation:

(1) The angle vertically opposite to $∠ N O M$ $/_NOM$ is $∠ L O P$ $/_LOP$ i.e. $∠ 2$ $/_2$ .

(2) The angle vertically opposite to $∠ T L K$ $/_TLK$ is $∠ O L P$ $/_OLP$ i.e. $∠ 1$ $/_1$ .

(3) The pair of angles supplementary to $∠ N O M$ $/_NOM$ are $∠ M O P$ $/_MOP$ and $∠ N O L$ $/_NOL$ .

(4) As $∠ 2$ $/_2$ is vertically opposite to angle $∠ N O M = 97^{\circ}$ $/_NOM=97^@$ , $∠ 2 = 97^{\circ}$ $/_2=97^@$ ; $∠ 1$ $/_1$ is vertically opposite to angle $∠ T L K = 42^{\circ}$ $/_TLK=42^@$ , $∠ 2 = 42^{\circ}$ $/_2=42^@$ . Hence as sum of the angles of a triangeis $180^{\circ}$ $180^@$ , $∠ 3 = 180^{\circ} - 97^{\circ} - 42^{\circ} = 41^{\circ}$ $/_3=180^@-97^@-42^@=41^@$ .

(5) As $∠ 3 = 41^{\circ}$ $/_3=41^@$ and $∠ O P S$ $/_OPS$ is supplementary to this, $∠ O P S = 180^{\circ} - 41^{\circ} = 139^{\circ}$ $/_OPS=180^@-41^@=139^@$ .

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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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