157k views
2 votes
Two of the angles in a triangle measure 31° and 10° what is the measure of the third angle

1 Answer

3 votes

Answer:

139°

Step-by-step explanation:

Let the measure of the third angle = x

The sum of the measures of angles in a triangle is 180 degrees.

Thus:


31\degree+10\degree+x=180\degree

We solve the equation for x:


\begin{gathered} 41\degree+x=180\degree \\ x=180\degree-41\degree \\ x=139\degree \end{gathered}

The measure of the third angle is 139°.

User Billion Shiferaw
by
4.8k points