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LanceLongFei

Answer:

[tex](x,y) = (65^\circ, 50^\circ)[/tex]

Step-by-step explanation:

Let all values denote degrees.

By the exterior angle theorem, [tex]x + y = 115[/tex]. Moreover, because we are dealing with an isoceles triangle, [tex]y = 180 - 2x[/tex]. Substituting this into the former equation gives [tex]180-x=115[/tex] and as such [tex]x=65[/tex]. Because [tex]x + y = 115[/tex] we now also know that [tex]y=50[/tex].

Answer:

x° = 65° & y° = 50°.

Step-by-step explanation:

115° = x° + y° ( exterior angle property )

Let's name that angle to the right of 115° as 'a'.

a = 180 - 115 = 65°. (linear pair)

Now we know that the triangle is an isosceles triangle. (given)

So this makes x° also as 65° (equal sides make equal angles).

This leaves behind y°.

y° = 180 - (65+65) = 50°.

So, x° = 65° & y° = 50°.

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