Answer: the measure of angle is [tex]30\textdegree[/tex]
Explanation:
Let the angle be x
So,
Its supplement will become [tex]180\textdegree[/tex]
According to question,
we have given that ,
Twice the supplement = 2([tex]180\textdegree[/tex]-x)
Subtracted by 3 = 2([tex]180\textdegree[/tex]-x)-3
So, the result will be [tex]297\textdegree[/tex], it means,
2([tex]180\textdegree[/tex]-x)-3 = [tex]297\textdegree[/tex]
⇒[tex]360\textdegree[/tex]-2x-3 = [tex]297\textdegree[/tex]
⇒[tex]357\textdegree[/tex]-2x = [tex]297\textdegree[/tex]
⇒(-)2x = [tex]297\textdegree[/tex] - [tex]357\textdegree[/tex]
⇒(-)2x = (-)[tex]60\textdegree[/tex]
⇒2x = [tex]60\textdegree[/tex]
⇒x = [tex]\frac{60}{2}[/tex]
∴ the measure of angle = [tex]30\textdegree[/tex]
