Question

The measures of the angles of a triangle are shown in the figure below. Solve for x. 47 74

Answer 1

ThisThe sum of angles in a triangle

`=180^0`

The angles given in the triangle are

`x^0,74,47^0^{}^{}^{}_{}^{}`

Which means that,

`x^0+47^0+74^0=180^0`
`\begin{gathered} x^0+121^0=180^0 \\ \text{collecting like terms,we will have} \\ x^0=180^0-121^0 \\ x^0=59^0 \end{gathered}`

Hence,

The final answer is x=59°