{"id":"aqua_rat:5a0c31b4a18deee6a90515c3b9358029","source_id":"aqua_rat","source_item_id":"5a0c31b4a18deee6a90515c3b9358029","external_id":null,"program":null,"section":"math","category_code":"PHM","category":"Preparing for Higher Math","subcategory_code":null,"subcategory":null,"form_id":null,"passage_id":null,"position":null,"scored":true,"layout_warning":null,"stem":"The measures of the interior angles taken in order of a polygon form an arithmetic sequence. The least measurement in the sequence is 850. The greatest measurement is 2150. Find the number of sides in the given polygon","stimulus":"","stimulus_html":null,"stem_html":"<p>The measures of the interior angles taken in order of a polygon form an arithmetic sequence. The least measurement in the sequence is 850. The greatest measurement is 2150. Find the number of sides in the given polygon</p>","rationale_html":"<p>Let n denote the number of sides of the polygon.</p><p>Now, the measures of interior angles form an arithmetic sequence.</p><p>Let the sum of the interior angles of the polygon be</p><p>Sn where a = 85 and l = 215.</p><p>We know that the sum of the interior angles of a polygon is (n-2)x1800</p><p>Sn=(n-2)x1800</p><p>n=12</p><p>Option C</p>","correct_answer":["C"],"equiv_key":"7e2c690a1f6a05218828bda3","has_media":false,"has_mathml":false,"has_table":false,"section_label":"Mathematics","options":[{"label":"A","content_html":"<p>6</p>","ord":0},{"label":"B","content_html":"<p>15</p>","ord":1},{"label":"C","content_html":"<p>12</p>","ord":2},{"label":"D","content_html":"<p>10</p>","ord":3},{"label":"E","content_html":"<p>8</p>","ord":4}],"passage":null,"attribution":{"source_id":"aqua_rat","source_name":"AQuA-RAT algebra word problems with rationales","rights_holder":"Google DeepMind and the AQuA-RAT contributors","canonical_url":"https://github.com/google-deepmind/AQuA","retrieved_from":"https://raw.githubusercontent.com/google-deepmind/AQuA/master/","attribution":"Algebra word problems from the AQuA-RAT dataset (Ling et al., 2017), published by Google DeepMind under the Apache License 2.0.","disclaimer":"AQuA-RAT items are crowdsourced algebra problems, not ACT questions. They carry five answer choices in the pre-2025 ACT Mathematics style and no ACT reporting category. Useful for drilling Preparing for Higher Math content; not a substitute for a real form.","license":"Apache License 2.0. Crowdsourced by DeepMind and published for free use, including commercially.","redistributable":true,"item_count":508},"equivalents":[]}