Question

The measures of the angles of a triangle are shown in the figure below. Solve for x.(5x-18)23°

Answer 1

The figure given is a triangle

The total angle in a triangle is 180 degrees

The sizes of the angles given are:

`(5x-18)^0,\text{90}^0\text{and }23^0`

Therefore

`5x-18+90+23=180`

Hence, to get x, we will collect like terms

`5x=180+18-90-23`

=>

`\begin{gathered} 5x=85 \\ \\ (5x)/(5)=(85)/(5) \end{gathered}`

=>

`x=17`

Hence, the value of x = 17