Q. 34.0( 21 Votes )

The larger of two supplementary angles exceeds the smaller by 18o. Find the angles.

Answer :

Let the larger of the two supplementary angles be ‘y’ and the smaller angle be ‘x’

Therefore, x + y = 180 …I


( sum of supplementary angles is 180° )


Also, y = x + 18 ( Given) …..II


Substituting II in I, we get,


x + x + 18 = 180


2x + 18 = 180


2x = 180 – 18


2x = 162


x = 81°


Substitute x = 81 in II


y = 81 + 18 = 99°


Therefore, measure of larger angle is 99° and the measure of the smaller angle is 81°


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Pair of Linear Equations in Two VariablesPair of Linear Equations in Two VariablesPair of Linear Equations in Two Variables46 mins
Dealing With the Real Life ProblemsDealing With the Real Life ProblemsDealing With the Real Life Problems53 mins
Learn to Solve Real Life Problems Using Linear Equations in Two VariablesLearn to Solve Real Life Problems Using Linear Equations in Two VariablesLearn to Solve Real Life Problems Using Linear Equations in Two Variables36 mins
Quiz | Real Life Problems Through Linear EquationsQuiz | Real Life Problems Through Linear EquationsQuiz | Real Life Problems Through Linear Equations56 mins
Quiz | Solution of Linear EquationsQuiz | Solution of Linear EquationsQuiz | Solution of Linear Equations53 mins
Champ Quiz | Consistency and Inconsistency of SolutionsChamp Quiz | Consistency and Inconsistency of SolutionsChamp Quiz | Consistency and Inconsistency of Solutions36 mins
Emphasizing on Elimination MethodEmphasizing on Elimination MethodEmphasizing on Elimination Method48 mins
Dealing with the Real Life ProblemsDealing with the Real Life ProblemsDealing with the Real Life Problems54 mins
Elimination (quicker than quickest)Elimination (quicker than quickest)Elimination (quicker than quickest)44 mins
Consistent and Inconsistent EquationsConsistent and Inconsistent EquationsConsistent and Inconsistent Equations33 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses
RELATED QUESTIONS :