Question

the first angle is 10 less than twice second angle. if the third angle is 10 more than the second angle. find the measures of the three angles

Answer 1

I think this question is incomplete...

it should be :   In a triangle, first angle.....

So, i am assuming the angles as the angles of a triangle....

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let the second angle be x

first angle = 2x - 10

third angle = 10 + x

∵first angle + second angle + third angle = 180

∴2x - 10 + x + 10 + x = 180

=> 4x = 180

=> x = 180/4

=> x = 45°

∴first angle = 2*45 - 10 = 90 - 10 = 80°

 second angle = 45°

 third angle = 10 + 45 = 55°

hope it helps you...

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