Question

Can you please please help me.

Answer 1

Answer:

yes

Step-by-step explanation:

yes

Answer 2

Answer:

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

Step-by-step 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.