An angle measures 143.4° less than the measure of a supplementary angle. What is the measure of each angle?

Measure of an angle = x

Measure of another angle = x - 143.4

Each angle is the supplement of the other angle .

Which means :-

Measure of the first angle :-

Measure of the second angle :-

As the sum of the measure of each angle adds up to 180° (161.7+18.3=180) , we can conclude that we have found out the correct value of each of the angles .

Therefore , the measure of the first angle is = 161.7° and the measure of it's supplementary angle is = 18.3° .

30

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