Respuesta :

Answer:

x = 22

y = 35

Step-by-step explanation:

Because its an isosceles triangle, you know the base angles are equal so:

[tex]3x - 11 = 2x + 11[/tex]

Solving:

subtract 2x from both sides

[tex]x-11=11[/tex]

add 11 to both sides

[tex]x = 22[/tex]

Next, find the angle measures of the two base angles:

[tex]3*22-11\\66-11\\55[/tex]

To find y, you know that the interior angles of the whole triangle add up to 180, so you have

[tex]55 + 55 + 2y = 180[/tex]

solving,

[tex]110 + 2y = 180[/tex]

subtract 110 from both sides

[tex]2y = 70[/tex]

divide both sides by 2

[tex]y = 35[/tex]

Answer:

x =22°

y =35°

Step-by-step explanation:

3x-11 = 2x+11

then x =22°

and 2y = 180-(55+55)

2y = 70

y = 45°

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