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An angle measure 24 more than the measure of its supplementary angle what is the measure of each angle

1 Answer

4 votes

Answer:
78^(\circ), 102^(\circ)

Explanation:

Given

An angle measure
24^(\circ) more than its supplementary angle

Let the first angle be
x

So, another angle is
x+24^(\circ)

Also, the sum of the supplementary angles is
180^(\circ)


\therefore x+x+24^(\circ)=180^(\circ)\\\Rightarrow 2x=180^(\circ)-24^(\circ)\\\Rightarrow 2x=156^(\circ)\\\Rightarrow x=78^(\circ)

So, the angles are
78^(\circ), 102^(\circ)

User Csoler
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