Question

You are working on finding x in the diagram above. You come up with the equation: 9y + 7 = 2y + 98. Your friend who has just started Algebra is blown away and doesn't understand how you came up with the equation. Explain to your friend how you found the equation and how to solve it.

Answer 1

Vertically Opposite angles

Step-by-step explanation:

Required

Why is

`9y + 7 = 2y + 98`

The relationship between 9y + 7 and 2y + 98 is that both angles are vertically opposite

In geometry, vertically opposite angels are equal

In other words, if a and b are vertically opposite angles, then a = b

So, we can say that:

`9y + 7 = 2y + 98`

because they are vertically opposite