Question

Can you please please help me.

Answer 1

yes

Explanation:

yes

Answer 2

`x=22\text{ and } y=123`

Explanation:

By definition, the interior angles of a triangle must sum to 180°. Therefore:

`(2x+13)+(57)+(3x)=180`

Combine like terms:

`5x+70=180`

Subtract 70 from both sides:

`5x=110`

And divide both sides by five. Hence:

`x=22`

Next, notice that y and the 57° angle form a linear pair. By definition, linear pairs equal 180°. Therefore:

`y+57=180`

So:

`y=123`

Alternatively, we can use the Exterior Angle Theorem, which states that the exterior angle is equivalent to the sum of the two interior angles opposite to the exterior angle. In other words:

`y=(2x+13)+(3x)`

Since we've determined that x = 22:

`y=(2(22)+13)+(3(22))=44+13+66= 123`

We acquire the same answer.