Question

May someone please show the full steps please! I will mark brainlist. I’m having a hard time understanding this.

Answer 1

Answer:

x=12 y=6  m(ABC)=102  m(BCD)=78 m(DAB)=78

Step-by-step explanation:

alright mate so lets start with the properties of parallelogram:

1. Opposite angles are equal
2. Sum of any two adjacent angles is 180degree

(there are more but we will use those here)

• so lets start with 1st property for help:

m(BCD) is opposite angle for m(DAB) so those equations should be equal each other and this will give us a hint

$6x+y=4x+5y\\2x=4y\\x=2y$            i just changed the places of x to be in one place and                                                                                                  s                                     same for y then divided both sides by 2

• Now lets use the 2nd property (sum of two adjacent angles is 180)

m(ABC) is adjacent to m(BCD) so

$(7x+3y)+(4x+5y)=180$  add x to x and y to y it will be

$11x+8y=180$  

• Now we going to use the first one x=2y in this equation so we can deal with one variable

replace x with 2y so 11x will be 22y

$22y+8y=180\\30y=180\\y=6$          added the y to y and then divided both sides by 30

$x=2y \\x=2*6=12$

now we got x and y

then lets start to substitute every x and y in the equations

1. $7x+3y\\7*12+3*6=102$
2. $4x+5y\\4*12+5*6=78$

    3.$6x+y\\6*12+6=78$

now we got everthing hope i helped you sorry also for being late it toook alot to type it so you can understand