Question

Find the value of y
Please help me to solve this question

Answer 1

Answer:

In the above diagram x and y are vertically opposite angles. Hence , vertically opposite angles are equal to each other . Therefore,x = y

Step-by-step explanation:

The sum of 3y, y, 2x is 180 .

$3y + y + 2x = 180 \\ = > 3y + x + 2x = 180 \\ = > 3y + 3x = 180 \\ = > 3(x + y) = 180 \\ = > x + y = \frac{180}{3} \\ = > x + y = 60 \: equ - 1$

$2x + y = 90 \\ 2x + x = 90 (where \: x = y) \\ 3x = 90 \\ x = \frac{90}{3} \\ x = 30 \\ sub \: the \: value \: in \: equ - 1 \\ 30 + y = 60 \\ y = 60 - 30 \\ y = 30.$