Question

find the missing measure in the triangle with the given angle measures.100°, x°, 40°a. 40b.90c.220d.30

Answer 1

For this exercise you need to remember that, by definition, the sum of the interior angles of any triangle is 180 degrees.

In this case, you know the following interior angles of the triangle given in the exercise:

`\begin{gathered} 100\degree \\ 40\degree \end{gathered}`

Then, based on the explained above, you can set up the following equation:

`40\degree+100\degree+x=180\degree`

Finally, you must solve for the variable "x" in order to find the measure of the missing angle of the triangle. You get that this is:

`\begin{gathered} 140\degree+x=180\degree \\ x=180\degree-140\degree \\ x=40\degree \end{gathered}`

The answer is: Option a.