Question

Find angles in trianglesFind the value of x in the triangle shown below.x=56°xo99°

Answer 1

The diagram shows a scalene triangle with the following given angles given

`\begin{gathered} 99^0 \\ 56^0 \\ x^0 \end{gathered}`

Using the theorem, the sum of angles in a triangle is 180 degrees

Then we have

`\begin{gathered} 99^0+56^0+x^0=180^0 \\ 155^0+x^0=180^0 \end{gathered}`

Then

`\begin{gathered} x^0=180^0-155^0 \\ x=25^0 \end{gathered}`

Hence, the value of x is 25°