Question

A triangle has interior angle measures of 2v–16°, v–35°, and 30°. What is the value of v?

Answer 1

`v = 67°`

Explanation:

The sum of all interior angles of a triangle is equal to `180°`.

So , `(2v-16°)+(v-35°)+(30°)=180°`

`2v+v -16°-35°+30° =180°`

`3v -51°+30°=180°`

`3v -21° = 180°`

`3v = 180°+21°`

`3v = 201°`

`v = 201/3`

`v = (cancel201^67)/(cancel3)`

`v = 67°`