Question

Find the values of x and y

Can someone help?

Answer 1

x° = 65° & y° = 50°.

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°.

Answer 2

`(x,y) = (65^\circ, 50^\circ)`

Explanation:

Let all values denote degrees.

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