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Subjects
Class 10MathematicsPair of Linear Equations in Two VariablesAlgebraic methods: Substitution method and Elimination method.ExpertLevel 57
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Two complementary angles have one angle (28^\circ) more than the other. What is the larger angle?

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Answer and explanation

Correct answer: (59^\circ)

Let the angles be (x) and (y), so (x+y=90^\circ) and (x-y=28^\circ). Adding gives (2x=118^\circ), so the larger angle is (59^\circ).

Related tags

Word-Problem-Complementary-Angles

Frequently asked questions

What is the correct answer to this question?

(59^\circ)

Why is this the correct answer?

Let the angles be (x) and (y), so (x+y=90^\circ) and (x-y=28^\circ). Adding gives (2x=118^\circ), so the larger angle is (59^\circ).

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Pair of Linear Equations in Two Variables. Topic: Algebraic methods: Substitution method and Elimination method..

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  2. 2Which equation is obtained by simplifying (6x+3y=12)?
  3. 3What is the point of intersection of the lines \(4x+3y=34\) and \(4x-y=10\)?
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  5. 5While solving a pair of linear equations in two variables by the elimination method, in which situation can one variable be eliminated directly?
  6. 6What is the \(x\)-coordinate of the point of intersection of the lines \(4x+5y=31\) and \(3x-2y=1\)?
  7. 7If the two lines have a unique point of intersection (r,s) that satisfies (3r+s=19) and (r-s=1), what is the value of (r+s)?
  8. 8If the unique point of intersection of two lines is (r,s) and the lines are represented by (4r+s=29) and (r-s=1), what is the value of (r+s)?
  9. 9What is the solution of the equations (x+y=5) and (x-y=1)?
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