A straight angle is split into the ratio of 3:1:4. Find the measure of each angle.

Let the parts be given as x,

180° = 3x + 1x + 4x (Because a straight angle = 180°)

=> 180° = 8x

=> 180 / 8 = x (By the law of transposition)

=> 22.5 = x

Therefore the three different angles are :

67.5° , 22.5° , 90° respectively

Check,

=> 67.5 + 22.5 + 90

=> 90 + 90

=> 180°

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