Question

Form the pair of linear equation for the following problem and find their solution by substitution method.

(ii) The larger of two supplementary angles exceeds the smaller by 18 degrees. Find them.




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Answer 1

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Let the larger angle by x° and smaller angle be y°.

We know that the sum of two supplementary pair of angles is always 180°.

According to the question,

x + y = 180°……………. (1)

x – y = 18° ……………..(2)

From (1), we get x = 180° – y …………. (3)

Substituting (3) in (2), we get

180° – y – y =18°

162° = 2y

y = 81° ………….. (4)

Using the value of y in (3), we get

x = 180° – 81°

= 99°

Hence, the angles are 99° and 81°.