What are the measures of a triangle with angles of (x+20) degrees (2x+10) degrees (4x-60) degrees?

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27-08-2017
Mathematics

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What are the measures of a triangle with angles of (x+20) degrees (2x+10) degrees (4x-60) degrees?

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Banabanana Banabanana · Answer 1 · 2017-08-27T13:57:02+02:00

Banabanana Banabanana

27-08-2017

In a triangle, the three interior angles always add to 180°

m∠1 = x+20
m∠2 = 2x+10
m∠3 = 4x-60

x+ 20 + 2x + 10 + 4x - 60 = 180
7x - 30 = 180
7x = 180 + 30
7x = 210
x = 210/7
x = 30

m∠1 = x+20 = 30 + 20 = 50°
m∠2 = 2x+10 = 2*30 + 10 = 70°
m∠3 = 4x-60 = 4 * 30 - 60 = 60°

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