Question

two supplimentary angles differ by 20 degrees. find the angles​

Answer 1

answer:

The measure of smallest angle is 80°.

Step-by-step explanation:

Let the larger angle be 'x'.

So the smaller angle is 'x-20'.

We know that, sum of two supplementary angle is 180°.

i.e. x+x-20 = 180x+x−20=180

2x-20 = 1802x−20=180

2x=180+202x=180+20

2x=2002x=200

x=\frac{200}{2}x=

2

200

x=100x=100

The smaller angle is 100-20=80°.

Therefore, the measure of smallest angle is 80°.

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