How is mathematics done?

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Mathematics is done with curiousity. Why and how. This curiosity one day developes love for mathematics and look for other possible methods to get to the solution that's the beauty you will surely enjoy in maths and teaching fruits takes time and efforts
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The larger of two supplementary angles exceeds thrice the smaller by 20 degrees. Find them.
Larger angle X Smaller angle Y We have X+Y=180..(1) larger angle exceeds thrice smaller by 20 ∴X=3Y+20..(2) Solving (1)&(2) X+Y=180 X-3Y=20 4Y=160⇒Y=40... smaller angle ∴larger angle X=140 Tq.
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