If two interior angles on the same side of a transversal intersecting two parallel lines are in the ratio $2 : 3$ , then the greater of the two angles is:

Question

If two interior angles on the same side of a transversal intersecting two parallel lines are in the ratio 2-3- then the greater of the two angles is-54-o108-o120-o136-o

Toppr Admin · Accepted Answer

Two interior angles on the same side of a transversal intersecting two parallel lines are in the ratio $2 : 3$ ....(Given)
Let one angle $= 2 x$
Other angle $= 3 x$
As sum of interior angles on same side of transversal intersecting two parallel line is $180$
$\Rightarrow 2 x = 3 x = 180$
$\Rightarrow 5 x = 180$
$\Rightarrow x = \frac{180}{5} = 36$
Hence, two angles are $2 x = 2 \times 36 = 72$
$\Rightarrow 3 x = 3 \times 36 = 108$
Hence, greater angle is $108^{o}$ .

If two interior angles on the same side of a transversal intersecting two parallel lines are in the ratio 2:3, then the greater of the two angles is:54o108o120o136o

If two interior angles on the same side of a transversal intersecting two parallel lines are in the ratio $2 : 3$ , then the greater of the two angles is:
$54^{o}$
$108^{o}$
$120^{o}$
$136^{o}$