If two interior angles on the same side of a transversal which is intersecting two parallel lines are in the ratio 2:3,
If two interior angles on the same side of a transversal which is intersecting two parallel lines are in the ratio 2:3, then the greater than of the two angles is
A) 54°
B) 108°
C) 120°
D) 136°
4 views
2 Answers
Correct option is (B) 108°
Let both angles are 2x and 3x.
Since, both interior angles are on same side of a transversal of two parallel lines.
\(\therefore\) 2x+3x = \(180^\circ\)
\(\Rightarrow\) 5x = \(180^\circ\)
\(\Rightarrow\) x \(=\frac{180^\circ}5=36^\circ\)
\(\therefore\) Greater angle \(=36^\circ\times3=108^\circ\)
4 views
Answered