Question

Two supplymentry angle differ by 20 degree find the angle

Answer 1

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°.

$i.e. \: x + x - 20 = 180$

$2x - 20 = 180$

$2x = 180 + 20$

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

$x = 100$

The smaller angle is 100-20=80°.

Therefore, the measure of smallest angle is 80°.

Answer 2

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 =

$x + x - 20 = 180$

$2x - 20 = 180$

$2x = 180 + 20$

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

$x = 100$