Two parallel lines l and m are cut by a transversal t. If the interior angles of the same side of t are `(2x−8)^∘` and` (3x−7)^∘` , find the measure of each of these angles.

If two parallel lines are cut by a transversal, then the alternate interior angles are equal

If two parallel lines are intersected by a transversal , then the interior angles on the same side of the transversal are -

Find the sum of the interior angles of the an 8-sided polygon.

In Fig. 5.60, two parallel lines l and m are cut by two transversals n and p. Find the values of x and y.

The ratio of two interior angles on the same side of the transversal is 2:3 , the measure of difference of both the angles is -

In Fig.5.66 , two parallel lines l and m are cut by two transversals p and q . Determine the values of x and y .

If two parallel lines are intersected by a transversal,prove that the bisectors of the interior angles on the same side of transversal intersect each other at right angles.

If two parallel lines are intersected by a transversal,prove that the bisectors of the interior angles on the same side of transversal intersect each other at right angles.

Fill in the blanks in each of the following to make the statement true: (i) If two parallel lines are intersected by a transversal, then each pair of corresponding angles are.... (ii) If two parallel lines are intersected by a transversal, then interior angles on the same side of the transversal are... (iii) Two lines perpendicular to the same line are.... to each other. (iv) Two lines parallel to the same line are .......... to each other. (v) If a transversal intersects a pair of lines in such away that a pair of alternate angles are equal, then the line are... (vi) If a transversal intersects a pair of lines in such away that the sum of interior angles on the same side of transversal is 180,then the line are .......