Given

Angel MNR= 98

2y-x+2+16-y+3x+2x-y=98

2y-2y+4x+18=98

4x= 98-18

4x= 80

x= 20

Answer:

x = 20

Step-by-step explanation:

We are given that ZMNR has measure 98°.

This means that sum of all the angles i.e 2y - x +2, 16 - y + 3x and 2x - y will be 98°.

On solving we get

2y - x +2 + 16 - y + 3x + 2x - y = 98°

Move all the terms containing x and y to the left and the other two the right .

2y - x - y + 3x + 2x - y = 98 - 2 - 16

2y -y - y - x + 3x + 2x = 96 - 16

y - y - x + 5x = 80

-x + 5x = 80

4x = 80

Dividing both sides by 4,

x = 20

Hence the required value of x is 20