Question

Given m ll n,
find the value of x and y.
Can someone answer this today please

Answer 1

• x = 15, y = 50

Explanation:

m and n are parallel and cut by a transversal

Finding x

• 8x + 12 + 2x + 18 = 180 (consecutive interior angles sum up to 180°)
• 10x + 30 = 180
• 10x = 150
• x = 15

Finding y

• 8x + 12 = 3y - 18 (vertical angles are equal)
• 8(15) + 12 = 3y - 18
• 132 = 3y - 18
• 150 = 3y
• y = 50