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14.Among the two supplementary angles,the measure of the larger angle is 36° more than the measure of smaller.Find their measures.
15.My mother is 12 years more than twice my age.After 8 years,my mother's age will be 20 years less than three times my age.Find my age and my mother's age.
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PROBLEM
14. Among the two supplementary angles,the measure of the larger angle is 36° more than the measure of smaller.Find their measures.
ANSWER
72° and 108°
Let the measure of the supplementary angles be x and (x + 36). Therefore, measures of the supplementary angles are 72° and (72 + 36) i.e. 108°.
PROBLEM
15.My mother is 12 years more than twice my age.After 8 years,my mother's age will be 20 years less than three times my age.Find my age and my mother's age.
ANSWER
16
Let 'm' be the age of mother and 'k' be the age of the kid.
Given : m = 2k + 12 -------eq.1
m = 2k + 12 -------eq.1After 8 years ,
m' = m + 8 , k' = k +8
m' = 3k' - 20 = 3(k + 8) - 20 = 3k + 4 = m + 8
m = 3k - 4 ------------eq.2
put eq.2 in eq.1
3k - 4 = 2k + 12
k = 16
k = 16m = 44
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