Question

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

Answer 1

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)`