Lines and Angles

In the given figure, prove that AB || CD.

Find the value of y in the following figures:

In the following figures, find the lettered angles.

In the following figure, find the value of ∠BOC, if points A, O and B are collinear. 

If the angles (4x + 4)° and (6x – 4)° are the supplementary angles, find the value of x.

An angle is greater than 45˚. Is its complementary angle greater than 45˚ or equal to 45˚ or less than 45˚?

Find the angles which is 1/5 of its complement.

Find the value of x in the given figure.

In given figure, PQ, RS and UT are parallel lines.

(i) If c = 57° and a = c/3, find the value of d.

(ii) If c = 75° and a = 2/5 c, find

Find the angles which is 2/3 of its supplement.

In the given figure, find the value of y.

In the given figure l || m. Find the values of a, b and c.

In the adjoining figure if x : y : z = 2 : 3 : 4, then find the value of z.

Find the value of y.

Find the supplements of each of the following:

(i) 30°

(ii) 79°

(iii) 179°

(iv) x°

(v) 2/5 of right angle

Find the value of x.

In the adjoining figure, p ∥ q. Find the unknown angles.