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Flauer [41]
2 years ago
8

Can you please please help me.

Mathematics
2 answers:
scoundrel [369]2 years ago
6 0

Answer:

yes

Step-by-step explanation:

yes

Natali [406]2 years ago
5 0

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 <em>y</em> 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 <em>x</em> = 22:

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

We acquire the same answer.

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