Question

Determine the value of Y.

Answer 1

Opposite angles are equal

• 3x+18=5x-4
• 22=2x
• x=11

Now

linear pairs are supplementary

• 3x+18+3(4y+3)=180
• 3(11)+18+12y+9=180
• 33+18+12y+9=180
• 12y+60=180
• 12y=120
• y=10

Answer 2

y=10°

Explanation:

Here,

→(3x+18)°=(5x-4)°

→18°+4°=5x-3x

→22°=2x

→x=11°

Also,

3(4y+3)°+5x-4°=180°[The sum of the linear pair is 180°]

12y+9°+5x-4°=180°

12y+5°+5×11°=180°

12y+5°+55°=180°

12y=180°-60°

12y=120°

y=120°/12

y=10°