If a right triangle has an angle that is 65 degrees what is the third angle in the triangles

1 answer

In a right triangle, one of the angles is always 90 degrees. The sum of all angles in any triangle is 180 degrees. If one angle is 65 degrees and the right angle is 90 degrees, we can find the third angle (let's call it \( x \)) using the formula:

\[ \text{Sum of angles} = 90^\circ + 65^\circ + x = 180^\circ \]

Rearranging the equation gives:

\[ x = 180^\circ - 90^\circ - 65^\circ \] \[ x = 180^\circ - 155^\circ \] \[ x = 25^\circ \]

Thus, the third angle in the triangle is 25 degrees.