What is the meaning of the larger of two supplementary angles exceeds the smaller by 18 degrees?

Uh-Oh! That’s all you get for now.

We would love to personalise your learning journey. Sign Up to explore more.

Sign Up or Login

Skip for now

Uh-Oh! That’s all you get for now.

We would love to personalise your learning journey. Sign Up to explore more.

Sign Up or Login

Skip for now

Last updated at July 24, 2021 by Teachoo

This video is only available for Teachoo black users

Ex 3.3, 3 Form the pair of linear equations for the following problems and find their solution by substitution method. (ii) The larger of two supplementary angles exceeds the smaller by 18 degrees. Find them. Let Larger angle be x & Smaller angle be y Given that Larger angle exceeds Smaller angle by 18° x – y = 18 Also both angles are supplementary Sum of both angles = 180° x + y = 180 Thus, our equations are x – y = 18 …(1) x + y = 180 …(2) From (1) x – y = 18 x = 18 + y Substituting x in (2) x + y = 180 (18 + y) + y = 180 18 + y + y = 180 18 + 2y = 180 2y = 180 – 18 2y = 162 y = 162/2 = 81 Putting y = 81 in (1) x – y = 18 x – 81 = 18 x = 18 + 81 x = 99 Hence, x = 99 and y = 81 Thus, Larger Angle = x = 99° Smaller Angle = y = 81°