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

Angles of a triangle are (3x)^(@),(2x-7) and (4x-11)^(@) . Find the measure of x and each angle of the triangle

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.

Two opposite angles of a parallelogram are (3x-2)^0\ a n d\ \ (50-x)^0dot Find the measure of each angle of the parallelogram.

Two opposite angles of a parallelogram are (3x-2)^0\ a n d\ \ (50-x)^0dot Find the measure of each angle of the parallelogram.

Two parallel lines l and m are intersected by a transversal p . Show that the quadrilateral formed by the bisectors of interior angles is a rectangle.

At 5O'clock the hands of a clock make an obtuse angle and a reflex angle. Find the measure of each of the these angles

At 10 O' clock the hands of a clock make an acute angle and a reflex angle. Find the measure of each of these angles

If two parallel lines intersected by a transversal; prove that the bisectors of the two pairs of interior angle encloses a rectangle.

Two angles of a quadrilateral are 68^@ and 76^@ . If the other two angles are in the ratio 5:7, find the measure of each of them.

Which of the following statements are true (T) and which are false (F)? Give reasons. (i)If two lines are intersected by a transversal, then corresponding angles are equal. (ii)If two parallel lines are intersected by a transversal, then alternate interior angles are equal. (iii)Two lines perpendicular to the same line are perpendicular to each other. (iv)Two lines parallel to the same line are parallel to each other. (v)If two parallel lines are intersected by a transversal, then the interior angle on the same side of the transversal are equal.