Lines And Angles

Find the angle between the bisectors of two angles forming a linear pair.

If an angle is double its supplement and half its reflex angle, what is the angle?

In a regular polygon, if the ratio of an interior angle to an exterior angle is 3:2, how many sides does the polygon have?

Two parallel lines are intersected by a transversal. If the bisectors of two co-interior angles meet at a point, what is the angle formed at that point?

If L1 || L2 and L2 || L3, and the angle between a transversal and L1 is 50, and the angle between same transversal and L3 is x, find x if it is an alternate angle.

In the given figure, if AB || CD, angle ABQ = 40 and angle QCD = 30, find angle BQC.

An angle's complement is 1/3 of its supplement. Find the angle.

A regular polygon has an interior angle of 144 degrees. How many sides does it have?

If the hands of a clock are at 4:20, what is the angle between them?

In triangle ABC, the bisectors of angle B and angle C intersect at O. If angle A = 70, find angle BOC.

Find the number of sides of a polygon where the sum of interior angles is 1440 degrees.

In the figure, if AB || CD and CD || EF, and y:z = 3:7, find x.

The angles of a quadrilateral are in the ratio 2:4:5:7. Find the difference between the largest and smallest angle.

If an exterior angle of a regular polygon is 24 degrees, how many diagonals does it have?

In a triangle, if angle A - angle B = 33 and angle B - angle C = 18, find angle B.

Find the measure of an angle such that the sum of its complement and supplement is 200 degrees.

Two parallel lines are cut by a transversal. If one interior angle is 4x and its consecutive interior angle is 5x, find the value of x.

In the figure, PQ || RS, angle MXQ = 135 and angle MYR = 40. Find angle XMY.

If the measure of an angle is 1/6 of its reflex angle, find the angle.

What is the angle between the hands of a clock at 8:30?