Find the complement of each of the following angles:

             

 

Find the supplement of each of the following angles:

              

 

Identify which of the following pairs of angles are complementary and which are supplementary:

(i) 65⁰ ,115⁰  (ii) 63⁰ ,27⁰  (iii) 112⁰ ,68⁰  (iv) 130⁰ ,50⁰  (v) 45⁰ ,45⁰  (vi) 80⁰ ,10⁰

Find the angle which is equal to its complement.

Find the angle which is equal to its supplement.

In the given figure, angle 1 and angle 2 are supplementary angles. If angle 1 is decreased, what changes should take place in angle 2 so that both the angles still remain supplementary?

                                                             

Can two angles be supplementary if both of them are:

 (i) acute       (ii) obtuse      (iii) right?

An angle is greater than 45⁰. Is its complementary angle greater than 45⁰ or equal to 45⁰ or less than 45⁰?

In the adjoining figure:

(i) Is angle 1 adjacent to angle 2?

(ii) Is angle AOC adjacent to angle AOE?

(iii) Do angle COE and angle EOD form a linear pair?

(iv) Are angle BOD and angle DOA supplementary?

(v) Is angle 1 vertically opposite to angle 4?

(vi) What is the vertically opposite angle of angle 5?

Indicate which pairs of angles are:

(i) Vertically opposite angles?             (ii) Linear pairs?

In the following figure, is angle 1 adjacent to angle 2? Give reasons.

                                                             

Find the values of the angles x, y and z in each of the following:

                           

Fill in the blanks:

(i) If two angles are complementary, then the sum of their measures is _______.

(ii) If two angles are supplementary, then the sum of their measures is _______.

(iii) Two angles forming a linear pair are _______________.

(iv) If two adjacent angles are supplementary, they form a _______________.

(v) If two lines intersect a point, then the vertically opposite angles are always ________.

(vi) If two lines intersect at a point and if one pair of vertically opposite angles are acute angles, then the other pair of vertically opposite angles are __________.

In the adjoining figure, name the following pairs of angles:

(i) Obtuse vertically opposite angles.

(ii) Adjacent complementary angles.

(iii) Equal supplementary angles.

(iv) Unequal supplementary angles.

(v) Adjacent angles that do not form a linear pair

State the property that is used in each of the following statements:

(i) If a||b, then Ð 1 = Ð 5.

(ii) If Ð 4 = Ð 6, then a||b.

(iii) If Ð 4 + Ð 5 + 180⁰, then a||b.

In the adjoining figure, identify:

(i) the pairs of corresponding angles.

(ii) the pairs of alternate interior angles.

(iii) the pairs of interior angles on the same side of the transversal.

(iv) the vertically opposite angles.

 

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

                                           

Find the values of x in each of the following figures if l||m

                  

In the given figure, the arms of two angles are parallel. If Ð ABC = 70⁰, then find:

   (i) Ð DGC                 (ii) Ð DEF

 

                                                      

In the given figures below, decide whether l is parallel to m.