Question

Find the measures of angles of triangle if one angle of triangle is 80° and other two angles are in ratio 3:7.

Answer 1

Let the angles which are in ratio be 3x and 7x respectively..
Now,
Angle (A + B + C) = 180
=> 80 + 3x + 7x = 180
=> 10x = 100
=> x = 10°
Hence,
The angles measures is 30° and 70° respectively.....

Answer 2

let the ratio be 3x and 7x and the angle = 80
the sum of angles in a triangle = 180 degrees
therefore 80+3x+7x = 180
=> 10x = 180-80
=> x = 100/10 => 10
therefore the other two angles are
=> 3*10 = 30 degrees and
7*10 = 70 degrees
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