Question

Which equation can be used to find the measure of an angle that is supplementary to angle EGB

Answer 1

the equation can be:

180° - m(∡EGB)

Answer 2

When two angles are supplementary angles then the sum of the angles is
`180^o`.

Let the supplementray angle of ∠EGB = ∠x.

So we know that ∠x + ∠EGB =
`180^o`

Now to find angle x we will move angle EGB to the right side. Angle EGB is added there. So to move it we will use reverse operation. Reverse operation of addition is subtraction. So we subtract angle EGB from both sides. We will get,

∠x + ∠EGB - ∠EGB =
`180^o` - ∠EGB.

∠x =
`180^o` - ∠EGB

So we have got the required equation to find the angle which is supplementary to the angle EGB.