Question

22. Two opposite angles of a parallelogram are (3a - 2) and
(50 - a)'. Find the measure of each angle of the parallelogram.​

Answer 1

Answer:

opposite angle of a parallogram is equlll so 3a + a=52

4a=52

a=12 so opposite angle are

50 -a= 50-12=38 so angle, are 38 , 142,38,142

Answer 2

Answer:

as opposite angles of parallelogram are equal.

(3a-2)=(50-a) let this be angle Aand C

3a+a = 50+2

4a=52

a = 52÷4

a=13

it means

A=37( after substituting a=13)

C=37

therefore similarly angle B andD are equal let consider B and D as x

sum of all angles of quadrilateral is 360 degree

A+B+C+D = 360

37 +37+x+x=360

74+2x=360

x=360-74÷2

x=143

hence C = D = 143