Respuesta :

Answer:

Therefore the two supplementary angles are 40° and 140°.

Step-by-step explanation:

Given:

Let the measure of one angle of supplementary be 'x'

Then according to the given condition the other angle will be '3.5x'

To Find:

x = ?

3.5x = ?

Solution:

Supplementary angles:

Supplementary angles are those angles whose sum is 180°

We have two angles 'x'  and '3.5x'

∴ [tex]x+3.5x=180\\\\4.5x=180\\\\x=\frac{180}{4.5} \\\\\therefore x =40\°[/tex]

one angle is 40°

Another angle will be

[tex]3.5x= 3.5\times40\\\\3.5x=140\°[/tex]

Therefore the two supplementary angles are 40° and 140°.

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