Question

If the measures of the three angles of a triangle are x, 2x-20, and 3x-10, the what is this type of triangle?

Answer 1

The sum of three angles of a triangle is 180 degrees.

x + 2x -`20^o` + 3x -`10^o` = `180^o`

3x -`20^o` + 3x -`10^o` = `180^o`

6x -`30^o` = `180^o`

add `30^o`to both sides

6x - `30^o` + `30^o` = `180^o` + `30^o`

6x = `210^o`

dividing both sides by 6

6x /6 = `210^o` / 6

x = `35^o`