Chapter 11.2, Problem 17IP

To determine

To find: Measures of the third angle.

Answer to Problem 17IP

Measure of third angle is ${85}^0$

Explanation of Solution

Given information:

Other two angle measures are ${45}^0$ and ${50}^0$

Given

Other two angle measures are ${45}^0$ and ${50}^0$

Let third angle be $y$

We know sum of angles of a triangle is ${180}^0$

Using that

We get

  ${45}^0+{50}^0+y={180}^0$

On solving

  $\begin{array}{l}{45}^0+{50}^0+y={180}^0\\ \Rightarrow {95}^0+y={180}^0\\ \Rightarrow y={180}^0-{95}^0\\ \Rightarrow y={85}^0\end{array}$

Therefore,

Measure of third angle is ${85}^0$