Question

I’m so confused geometry

Answer 1

x=50 and y=10

because of vertical angles: 3y=x-20

and we also have 3y+5x-100=180 , if we simplify we get 3y=280-5x

we can combine the two equations and get x-20=280-5x and when we solve we get x=50 degrees

then we can plug that into the first equation and get 3y=30, and y=10 degrees

Answer 2

x = 50°

y = 10°

Explanation:

The vertical angles theorem states that angles across from each other must be equal.

This means that:

3y = x - 20° or x = 3y + 20°

5x - 100° = y + 140°

Start with the second equation

5x - 100° = y + 140°

Add 100° to both sides of the equation

5x = y + 240°

Now, substitute the value of x found at the beginning into this equation

5(3y + 20°) = y + 240°

Multiply

15y + 100° = y + 240°

Subtract 100° from both sides of the equation

15y = y + 140°

Subtract y from both sides of the equation

14y = 140°

y = 10°

x = 3y + 20 = 3(10) + 20 = 30 + 20 = 50°

Hope this helps :)