Answer: [tex]\text{ Possible measures of angles will be } =105\textdegree \text {and 75\textdegree}[/tex]
Explanation:
Since sum of measures of two alternate interior angles of two parallel lines with a transversal = [tex]210\textdegree[/tex];
Since we know that alternate angles are equal to each other, [tex]\text{say x}[/tex]
∴ [tex]x+x= 210\textdegree[/tex]
⇒[tex]2x = 210\textdegree[/tex]
⇒[tex]x= \frac{210}{2}\\x=105\textdegree[/tex]
Hence ,
Possible measures of angles formed by the parallel lines and the transversal will [tex]105\textdegree[/tex] and [tex]180\textdegree - 105 = 75\textdegree[/tex].
