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Question

The larger of two supplementary angles exceeds the smaller by 18 degrees. Find the angles. [3 MARKS]

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Solution

Concept : 1 Mark
Application : 1 Mark
Calculation : 1 Mark

Let x & y be the angles.

Since the angles are supplementary,

x+y=180(i)

According to given condition,

xy=18(ii)

Solving (i) and (ii) we get,

x=180y [From (i)]

Substituting value of x in (ii)

xy=18

180yy=18

2y=162y=81

Now, x=180y

x=18081

x=99

x=99,y=81


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