Question

The measures of two angles of a angles of a triangle are given. Find the measure of the third angle.

$45°$$,105°$

Answer 1

Find the measure of the third angle:

Let the third angle be $x$.

We know from angle sum property of triangle,

Sum of all interior angles of a triangle is $180°$.

$$\begin{gathered} \Rightarrow x+45°+105°=180° \\ \Rightarrow x=180°-150° \\ \Rightarrow x=30° \end{gathered}$$

Thus, the required angle will be $30°$.