Question

please answer i will mark you brainlest ​

Answer 1

Step-by-step explanation:

GiventhatABCDisaparallelogram.

Weknowthatinaparallelogramoppositeanglesareequal.

Sofromthegivenfigure,

∠B=∠D⇒6x+3y−8=7y⇒6x−4y=8⇒x=

6

8+4y

−−−−(1)

Alsoweknowthatadjacentanglesinaparallelogramaresupplementary.

So∠A+∠D=180

o

⇒4x+20+6x+3y−8=180

o

⇒10x+3y=168−−−−(2)

Using1in2,

10(

6

8+4y

)+3y=168⇒80+40y+18y=168×6⇒58y=1008−80⇒58y=928⇒y=

58

928

⇒y=16

o