Angle made by transversals and exterior angles

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

Angles made by a transversal with two lines

Write converse of the following statement: If a pair of the interior angles made by a transversal of two lines are supplementary then the lines are parallel.

Exterior of an angle

Alternate exterior angles a pair of angles in which one arm of each of the angles is on opposite side of the transversal and whose other arms are directed in opposite direction and do not include segment PQ is called a alternate exterior angles.

Angles Made By A Transversal |Transversal Of Parallel Lines|Practice Questions|OMR

In a regular convex polygon, each interior angle in not more than each exterior angle is not more than each exterior angle. How many such polygons are possible ?

In the figure , angle QPR and angle PST are exterior angles of triangle PRS . If angle PRS=50 ^@ and angle QPR= 80^@ , then find measure of angle PST.

ALTERNATE EXTERIOR ANGLES A pair of angles in which one arm of each of the angles is on opposite sides of the transversal and whose other arms are directed in opposite direction and do not include segment PQ is called a pair of alternate exterior angles.