Two parallel lines are intersected by an transverse. If measure of one of the alternate angle is `85^(@)`. Find measure of other angle.

If two parallel lines intersected by a transversal , then name the pair of angles formed that are equal .

Q.49Three angles of a quadrilateral have the same measure.If the measure of the forth angle is 150^(@). Find the measure of other 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.

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 then prove that the bisectors of any pair of alternate interior angles are parallel.

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

The measures of two angles of a triangle are 72^(@) and 58^(@) . Find the measure of the third angle.

If two parallel lines are intersected by a transversal, prove that the bisectors of the two pairs of interior angles enclose a rectangle.

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.

In a right-angled triangle, one of the acute angles measures 53^(@) . Find the measure of other angle of the triangle.