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For the Figure Below Give the Following. (a) One Pair of Vertical Angles (b) One Pair of Angles That Form a Linear Pair. (c) One Pair

Question

For the figure below give the following. (a) one pair of vertical angles (b) one pair of angles that form a linear pair. (c) one pair of angles that are supplementary (a) Vertical angles: angle square and <[ square (b) Linear pair: square and < square (c) Supplementary angles: square and < square

Answer

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Verificación de expertos
Ethan Veteran · Tutor for 11 years

Answer

To answer these questions, we need to understand the properties of vertical angles, linear pairs, and supplementary angles.(a) Vertical angles are the angles that are opposite each other when two lines intersect. They are equal in measure.Based on the description, when line n intersects lines l and m, it creates two pairs of vertical angles. One pair is above line l, and the other pair is above line m. Since ∠1 is above line l and to the left of line n, its vertical angle counterpart would be the angle that is below line l and to the right of line n, which is ∠3.Vertical angles: and (b) A linear pair is a pair of adjacent angles formed when two lines intersect. The two angles of a linear pair are supplementary, which means their measures add up to 180 degrees.From the description, since ∠2 is below line l and to the left of line n, it forms a linear pair with the angle above line l and to the left of line n, which is ∠1.Linear pair: and (c) Supplementary angles are two angles whose measures add up to 180 degrees. These can be angles that form a linear pair, or they can be two separate angles that are not adjacent but still add up to 180 degrees.From the description, we already know that ∠1 and ∠2 form a linear pair, so they are also supplementary.Supplementary angles: and Final Answer:(a) Vertical angles: and (b) Linear pair: and (c) Supplementary angles: and