Question

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

Answer 1

Answer:

Measure of smaller angle = 60°

Step-by-step explanation:

Let the larger angle be x and the smaller angle is x-20(since it is given that the two angles differ by 20).

Now, as the angles are supplementary

x+x-20° = 180°

2x-20° = 180°

2x = 180° - 20°

2x = 160°

x = 160°/2

x = 80°

And the smaller angle is

x - 20° = 80° - 20° = 60°

Therefore the smaller angle is 60°.

Hope It’s Help u ❤️

Answer 2

$x - 20 + x + x = 180$

$3x - 20 = 180$

$3x = 180 + 20$

$3x = 200$

$x = \frac{200}{3}$

$x = 66.66$