Question

if two adjacent angles of a parallelogram are 3 x minus 2 degree and 2 x minus 3 degree then find the measure ​

Answer 1

Answer:

We know that in parallelogram, sum of adjacent angles is 180

o

∴ (3x−4)

o

+(3x+10)

o

=180

o

⇒ 3x−4+3x+10=180

o

⇒ 6x−6=180

o

⇒ 6x=174

o

⇒ x=

6

174

o

⇒ x=29

o

.

⇒ (3x−4)

o

=(3×29−4)

o

=83

o

⇒ (3x+10)

o

=(3×29+10)

o

=97

o

We know that, in parallelogram opposite angles are equal.

∴ Four angles of parallelogram are 83

o

,97

o

,83

o

and 97

Answer 2

Answer:

x = 37

3x -2 degree is 107

2x - 3 degree is 71