[tex]\text{ Answer: original angle will be }17\textdegree\\\\\text{ second angle will be }x+58\textdegree=17+58=75\textdegree\\\\\text{ third angle will be } 3x+37=3\times 17+37=88\textdegree[/tex]
Step-by-step explanation:
Let original interior angle be x
Let second interior angle be x+58
Let third interior angle be 3x+37
As we know that
[tex]\text{sum of three angles in triangle is 180\textdegree}[/tex]
So, we can use this
[tex]x+x+58\textdegree+3x+37\textdegree=180\textdegree\\\\5x+95\textdegree=180\textdegree\\\\5x=180\textdegree-95\textdegree\\\\5x=85\textdegree\\\\x=\frac{85}{5}\\\\x=17\textdegree[/tex]
So, each angle will be
[tex]\text{ original angle will be }17\textdegree\\\\\text{ second angle will be }x+58\textdegree=17+58=75\textdegree\\\\\text{ third angle will be } 3x+37=3\times 17+37=88\textdegree[/tex]
