{"id":24686,"date":"2019-11-07T16:51:29","date_gmt":"2019-11-07T11:51:29","guid":{"rendered":"http:\/\/jworldtimes.com\/old-site\/?p=24686"},"modified":"2019-11-23T17:26:13","modified_gmt":"2019-11-23T12:26:13","slug":"word-problems","status":"publish","type":"post","link":"https:\/\/www.jworldtimes.com\/old-site\/others\/word-problems\/","title":{"rendered":"Word Problems"},"content":{"rendered":"

\"Art-LS-ep-45\"<\/a><\/p>\n

Word Problems<\/strong><\/span><\/h1>\n

Q1.<\/strong> Two angles are complementary. If one of the angles is double the other angle, find the two angles.<\/p>\n

Ans:<\/strong> 30\u00b0 and 60\u00b0<\/p>\n

Q2.<\/strong> Two angles are complementary. If one angle is two times the sum of other angle and 3, find the two angles.<\/p>\n

Ans:<\/strong> 62\u00b0 and 28\u00b0<\/p>\n

Q3.<\/strong> The measure of an angle is \u00be of 60\u00b0. What is the measure of the complementary angle?<\/p>\n

Ans:<\/strong> 45\u00b0<\/p>\n

Q4.<\/strong> Two angles are supplementary. If one angle is 36\u00b0 less than twice of the other angle, find the two angles.<\/p>\n

Ans:<\/strong> 108\u00b0 and 72\u00b0<\/p>\n

Q5.<\/strong> An angle and its one-half are complementary. Find the angle.<\/p>\n

Ans:<\/strong> 60\u00b0.<\/p>\n

Q6.<\/strong> Two angles are supplementary. If 5 times of one angle is 10 times of the other angle. Find the two angles.<\/p>\n

Ans:<\/strong> 60\u00b0 and 120\u00b0.<\/p>\n

Q7.<\/strong> The measure of the supplement of angle A is 40 degrees larger than twice the measure of the complement of angle of A. What is the sum in degrees, of the measures of the supplement and complement of angle A?<\/p>\n

Ans:<\/strong> 190\u00b0<\/p>\n

Q8.<\/strong> Twice the complement of an angle is 24 degrees less than its supplement. What is the measure of the angle?<\/p>\n

Ans:<\/strong> 24 degrees\u00b0<\/p>\n

Q9.<\/strong> Two angles are supplementary. If the ratio of the measure of the smaller angle to that of the larger angle is 5:7, what is the measure of the smaller angle?<\/p>\n

Ans:<\/strong> 75\u00b0.<\/p>\n

Q10.<\/strong> The measure of supplement of an angle is equal to the twice the measure of the angle. What is the measure in degrees, of the compliment of the angle?<\/p>\n

Ans:<\/strong> 30\u00b0<\/p>\n

\"Word<\/a><\/p>\n

Q11.<\/strong> If 4 times the sum of an angle and 5 is 32, find the type of the angle.<\/p>\n

Ans:<\/strong> Obtuse angle<\/p>\n

Q12.<\/strong> If the sum of 5 times of an angle and 2 is 1222, find the type of the angle.<\/p>\n

Ans:<\/strong> Reflex angle<\/p>\n

Q13.<\/strong> If the sum of 5 times of an angle and 2 is 1222, find the type of the angle.<\/p>\n

Ans:<\/strong> Right angle<\/p>\n

Q14.<\/strong> If 7 times the difference between 3 times of an angle and 5 is 3745, find the type of the angle.<\/p>\n

Ans:<\/strong> Straight angle<\/p>\n

Q15.<\/strong> If 2 times the difference between 9 times of angle and 15 is 6450, find the type of the angle.<\/p>\n

Ans:<\/strong> Full angle<\/p>\n

Q16. <\/strong>In a triangle, the ratio between the first and second angle is 1:2 and the third angle is 72. Find the first and second angle of the triangle.<\/p>\n

Ans: <\/strong>36\u00b0 and 72\u00b0<\/p>\n

Q17. <\/strong>In a triangle, if the second angle is 3 times the sum of the first angle and 3 and the third angle is the sum of 2 times the first angle and 3, find the three angles of the triangle.<\/p>\n

Ans:<\/strong> 28\u00b0, 93\u00b0 and 59\u00b0<\/p>\n

Q18.<\/strong> In a right triangle, apart from the right angle, the other two angles are x + 1 and 2x + 5. Find the angles of the triangle.<\/p>\n

Ans:<\/strong> Hence 90\u00b0, 29\u00b0 and 61\u00b0<\/p>\n

Q19.<\/strong> In a triangle, if the second angle is 2 times the first angle and the third angle is 3 times the first angle, find the angles of the triangle.<\/p>\n

Ans:<\/strong> 30\u00b0, 60\u00b0 and 90\u00b0<\/p>\n

Q20.<\/strong> If 3 consecutive positive integers be the angles of a triangle, then find the three angles of the triangle.<\/p>\n

Ans:<\/strong> 59\u00b0, 60\u00b0 and 61\u00b0<\/p>\n

\u00a0\u00a0Box<\/strong><\/p>\n

Did you know? <\/strong><\/p>\n

Complementary angles are two angles with a sum of 90\u2218. A common case is when they form a right angle. Supplementary angles, on the other hand, are two angles with a sum of 180\u2218. A common case is when they lie on the same side of a straight line.<\/p>\n

\n","protected":false},"excerpt":{"rendered":"

Word Problems Q1. Two angles are complementary. If one of the angles is double the other angle, find the two angles. Ans: 30\u00b0 and 60\u00b0 Q2. Two angles are complementary. If one angle is two times the sum of other angle and 3, find the two angles. Ans: 62\u00b0 and 28\u00b0 Q3. The measure of …<\/p>\n","protected":false},"author":1,"featured_media":24687,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[10390,5,10859,131,10951,4],"tags":[9668,4535,1226,40,610,10115,537,8467,3790],"_links":{"self":[{"href":"https:\/\/www.jworldtimes.com\/old-site\/wp-json\/wp\/v2\/posts\/24686"}],"collection":[{"href":"https:\/\/www.jworldtimes.com\/old-site\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.jworldtimes.com\/old-site\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.jworldtimes.com\/old-site\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.jworldtimes.com\/old-site\/wp-json\/wp\/v2\/comments?post=24686"}],"version-history":[{"count":2,"href":"https:\/\/www.jworldtimes.com\/old-site\/wp-json\/wp\/v2\/posts\/24686\/revisions"}],"predecessor-version":[{"id":24689,"href":"https:\/\/www.jworldtimes.com\/old-site\/wp-json\/wp\/v2\/posts\/24686\/revisions\/24689"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.jworldtimes.com\/old-site\/wp-json\/wp\/v2\/media\/24687"}],"wp:attachment":[{"href":"https:\/\/www.jworldtimes.com\/old-site\/wp-json\/wp\/v2\/media?parent=24686"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.jworldtimes.com\/old-site\/wp-json\/wp\/v2\/categories?post=24686"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.jworldtimes.com\/old-site\/wp-json\/wp\/v2\/tags?post=24686"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}