Question

one supplementary angle is 20' more than the other. Find the two angles.

Answer 1

Let that angle be x.

So the other angle is x-20.

So, as they are supplementary angles they must add up to 180 degrees.

So, adding the angles-

x+(x-20)= 180

2x-20=180

x= 200/2

x= 100 degree.

So the two angles are 100° and 100-20 i.e. 80°.

Answer 2

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Let the two angles be a and b.

Also, b = a + 20

Then,
$a + b = 180 \\ a + (a + 20) = 180 \\ 2a + 20 = 180 \\ 2a = 180 - 20 \\ 2a = 160 \\ a = \frac{160}{2} \\ a = 80$

Thus, a = 80°

b = a + 20°
b = 80° + 20°
b = 100°

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