Question

4. Fill in the blanks with respect to the
following figure :
40°
1
1
20°
2
3
(1) Measure of 21 = ...
( 2 ) Measure of Z2 =.
2 ..
(3) Measure of Z3 = ...​

Answer 1

Answer:

angle 1= 120

angle 2=140

angle 3=40

Step-by-step explanation:

angle 1= 180-(40+20) (linear pair)

= 180-60

= 120

angle 2= 180-40 (linear pair)

= 140

angle 3= 180-(angle 1+20) (linear pair)

= 180- (120+20)

=180-140

=40

Answer 2

Step-by-step explanation:

angle 1 + 40° + 20° = 180°

(since they lie in the same straight line)

angle 1 = 120°

Now,

angle 1 + 20 + angle 3 = 180°

(since they lie in the same straight line)

120+20+angle 3 = 180

angle 3 = 40°

Now,

angle 2+ angle 3 = 180

(since they lie in the same straight line)

angle 2 = 140°