mon8103 mon8103

24-05-2016
Mathematics

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the measure of the angles of a triangle are represented by (2x)°, (x+40)°, and (x)°. what is the measure of the largest angle of the triangle?

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Divyankasc Divyankasc

24-05-2016

Sum of angles of a triangle : 180°

So, 2x + x + 40 + x = 180

4x + 40 = 180
4x = 180 - 40
4x = 140
x = 35°

So, angles -
x = 35°
2x = 2×35° = 70°
x + 40 = 35°+40° = 75°

So, largest angle - 75°

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