Question

A right triangle has an angle whose measure is 35°. What is the measure of the third angle in the triangle?

Answer 1

`55°`

Check: `35°+55°+90° = 180°`

Explanation:

The sum of the interior angles of a triangle is always `180°`

In a right-triangle (or right-angled triangle), there is always one angle of `90°`, so the other two angle will add to `90°` as well.

If there is an angle of `35°`, then we already have:

`90° +35° = 125°`

The third angle will therefore be `180° - 125° = 55°`

If you write an equation you will have:

`x + 35° +90° = 180°`

`color(white)(wwwwwwww)x = 180° - 90°-35°`

`color(white)(wwwwwwww)x = 55°`