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Question -

The angles of a triangle are arranged in ascending order of magnitude. Ifthe difference between two consecutive angles is 100, find the threeangles.



Answer -

The difference betweentwo consecutive angles is 100 (given)

Let x, x + 100,x + 200 be the consecutive angles

x + x + 100 +x + 200 = 1800

3x + 300 =1800

3x = 1800–300

3x = 1500

or x = 500

Again,

x + 100 =500 + 100 = 600

x+200 =500 + 200 = 700

Answer: Three anglesare 500,600 and 700.

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