Question

Two supplementary angles differ by 20 degrees what is the measure of smallest angle

Answer 1

Step-by-step explanation:

As they are supplementary....

their sum should be 180°

let x be greater....

So smaller will be x -20°

x + x -20 = 180

2x = 200

x = 100

So greater will be x = 100°

and smaller will be = 100-20 = 80°

Answer 2

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.  $x+x-20 = 180$

$2x-20 = 180$

$2x=180+20$

$2x=200$  

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

$x=100$

The smaller angle is 100-20=80°.

Therefore, the measure of smallest angle is 80°.

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