In the scenario described, we have parallel lines PQ and RS cut by the transversal VT. Given that m∠PVT is 109°, we can use the properties of parallel lines and transversals to find the measure of angle RWU. Since angles on the same side of the transversal (like ∠PVT and ∠RWU) are supplementary, we can set up the equation m∠PVT + m∠RWU = 180°. Substituting the given angle, we have 109° + m∠RWU = 180°. Thus, we can calculate m∠RWU as 180° - 109°, which simplifies to 71°. Therefore, the measure of angle RWU is 71°, making the correct answer 71°.
Use the image to answer the question.
The intersection of Atlantic Street and Ocean Avenue is labeled from top left as a, top right as 130 degrees, bottom right as c, and bottom left as b. The intersection of Pacific Street and Ocean Avenue is labeled from top left as d, top right as e, bottom right as g, and bottom left as f. The streets and avenue are made up of solid lines containing dashed lines at their centers.
In the diagram, given PQ−→−∥RS−→, m∠PVT=109°. Investigate the patterns of angles created when parallel lines are cut by a transversal to identify m∠RWU.
(1 point)
Responses which answer is correct and why by explaining in a 5 sentence paragraph
54.5°
54.5°
109°
109°
71°
71°
35.5°
35.5°
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1 answer
1 answer