Question

(a) Find the value of x.

(b) Find the measure of each angle.

please urgent very fast.....​

Answer 1

Answer:

2x+50+3x+40=180

5x+90=180

5x=90

x=90/5=18

and each angle measures angle A=86,B=64,C=64,D=64

Hope it helpful to you

Thanks

Answer 2

Answer:

In Parellelogram ABCD,

Angle A = ( 2x+50°)

Angle C = (3x+40°)

Now ,

Angle A = Angle C ....................( Opposite angles

are of equal measure

( 2x+50°)= (3x+40°)

2x-3x. = 40-50

-x. = -10

x. = 10°

But,

Angle A = ( 2x+50°)= 2×10+50=20+50=70°

Angle C = (3x+40°)=3×10+40. = 30+40=70°

Now,

Angle A + Angle B = 180°............( Interior angles

are supplementory)

70° + Angle B. = 180°

Angle B. = 180-70

Angle B. = 110°

But,

Angle D = Angle B..........................( Opposit angles

are of equal measure)

= 110°

Angle D = 110°

Therefore ,

Angle A =70°

Angle B = 110°

Angle C = 70°

Angle D = 110°

I hope you will help it