# The larger of two

Given: The larger of two supplementary angles exceeds the smaller by 18 degrees.

To find: The measure of both angles.

solution:

Let the larger angle be ‘a’ and the smaller angle be ‘b’.

Given, larger of two supplementary angles exceeds the smaller by 18 degrees.

⇒ a = b + 18

⇒ a - b = 18 ...... (1)

The sum of supplementary angles is 180°.

⇒a + b = 180.....(2)

Adding the equations 1 and 2 we get,

a-b+a+b=18+180

⇒ 2a = 198

⇒ a = 99°

Put the value of b in eq. 1 to get,

99-b=18

⇒ -b=18-99

⇒ -b=-81

⇒ b=81

Thus, b = 81°

Hence the measure of smaller angle is 81° and larger angle is 99°.

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
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 view all courses RELATED QUESTIONS :

Solve each of theRS Aggarwal - Mathematics

If 2x – 3y = 7 anRD Sharma - Mathematics

Solve the followiRD Sharma - Mathematics

Solve each of theRD Sharma - Mathematics