Solving for a variable with isosceles triangles

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Zie

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I know that if z = 115 then I can find a using the angles in a straight line rule and since the triangle is isosceles both a's = 65, then with both the angles I am able to find n using sum of the angles in a triangle but after that I have no idea how to solve for y I know that if z = 115 then I can find a using the angles in a straight line rule and since the triangle is isosceles both a's = 65, then with both the angles I am able to find n using sum of the angles in a triangle but after that I have no idea how to solve for y.

I also know that x is 25 since 180 - (115 + 90) = 15

x = 25
z = 115
n = 50
a= 65
 
Zie said:
View attachment 22276

I know that if z = 115 then I can find a using the angles in a straight line rule and since the triangle is isosceles both a's = 65, then with both the angles I am able to find n using sum of the angles in a triangle but after that I have no idea how to solve for y I know that if z = 115 then I can find a using the angles in a straight line rule and since the triangle is isosceles both a's = 65, then with both the angles I am able to find n using sum of the angles in a triangle but after that I have no idea how to solve for y.

I also know that x is 25 since 180 - (115 + 90) = 15

x = 25
z = 115
n = 50
a= 65
Click to expand...
use:

x + y + z + 90 = 360o
 
Zie said:
Hey, thank you for the response, If possible could you explain why it would add up 360? As I thought triangles would always add up to 180.
Click to expand...
Look at the figure carefully - you have x, y, z & 90o as the interior angles of a rectangle.
 
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