Question

An angle measure 28 degrees what is the measure of its supplement

Answer 1

Given:

The angle measure, θ=28°.

Two angles are said to be supplementary angles if the sum of the angles is equal to 180 degrees.

Let a be the measure of the supplement of θ=28°. Then, we can write,

`\begin{gathered} a+\theta=180^(\circ) \\ a+28\degree=180^(\circ) \end{gathered}`

Now, solve the equation for a.

`\begin{gathered} a=180^(\circ)-28\degree \\ a=152\degree \end{gathered}`

Therefore, the measure of the supplement of the angle measure 28 degrees is 152°.