Question

What is the value of y? y =

Answer 1

`y=5` Degrees

Explanation:

.

We know the sun of the angles of any triangle is `180`. Therefore:

`4y+10+3x+75=180`

`4y+3x+85=180`

`4y=180-3x-85`

`4y=95-3x`

`y=(95-3x)/4`

But since the triangle shown is an isosceles triangle, the two base angles are congruent:

`3x=75`

We will plug this in:

`y=(95-75)/4=20/4=5` Degrees

Answer 2

`y=5`

Explanation:

`AC` and `AB` are equal so,

`3x = 75`

Sum of all the internal angles of a triangle is `180^@`.

`(4y+10) + 75 + 3x = 180`
`4y+10 + 3x = 105`
`4y+ 3x = 95`

From above,

`4y + 75 = 95`
`4y = 20`
`y = 5`