Question

What is the value of x​

Answer 1

1st 3y + 5y + x = 180 degree(angles sum prop.)
Now...x = 180 - 8y .......(i)

x+3y = 7y ( Ext. angle prop.)
x= 4y......(ii)

equating i and ii
180- 8y = 4y
180 = 12y
y = 15 degree

now, x = 4y hence x = 60 degree


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Answer 2

DBA is the straight line So

<DBC+<ABC=180

7y+5y=180

12y=180

y=180/12

y=15

7y=15×7=105

B=5y=15×5=75

C=3y=3×15=45

in∆ABC

sum of all angle =180

<A+<B+<C=180

x+75+45=180

x=180-120

x=60