Question

Question #1e34f

Answer 1

`x=9`

Explanation:

In a triangle, the measures of all angles add up to be 180°. Since this is an equilateral triangle, all angles are equivalent. For both of these statements to be true, every angle must be 60°. Thus, this is always the case for equilateral triangles.

So, knowing that every angle measurement is 60, we can set up an equation to balance to find our `x` by setting one of our angles equal to 60.

`7x-3=60` Add 3 to both sides. `darr`
`7x=63` Divide both sides by 7. `darr`
`x=9`

This next part is just for concept, and you can stop reading if you want. For fun, let's show this again with the other equation, though it won't give us the right answer for your specific question. This is just for concept, and you can stop reading if you want.

`11y+5=60` Subtract 5 from both sides. `darr`
`11y=55` Divide both sides by 11. `darr`
`y=5`