Question

If each of the equal angles of an isosceles triangle measure 25 degrees less than twice the vertex angle, what would the vertex triangle measure?

Answer 1

`46` degress

Explanation:

I assume the question should read "what would the vertex ANGLE measure".

Let the vertex angle `= theta`
Then each of the other angles equals `(2theta - 25)`

The sum of the angles in a triangle is `180` degrees

`:. theta +2(2theta - 25) = 180`

`5theta -50 = 180`

`theta = 230/5 =46`