If a right triangle has an angle that is \( 65^{\circ} \), what is the third angle in the triangle? (1 point) \( 15^{\circ} \) \( 25^{\circ} \) \( 35^{\circ} \) \( 45^{\circ} \)

In any triangle, the sum of the angles is always \( 180^{\circ} \). For a right triangle, one of the angles is \( 90^{\circ} \). So, to find the third angle when one angle is \( 65^{\circ} \), you can use the equation: \[ \text{Third Angle} = 180^{\circ} - 90^{\circ} - 65^{\circ} = 25^{\circ} \] So the answer is \( 25^{\circ} \). Triangles have a fascinating history, dating back to ancient civilizations. The Egyptians and Babylonians utilized right triangles in their architecture and astronomy. The famous Pythagorean theorem, which relates the lengths of the sides in right triangles, was known even before Pythagoras, with evidence of its use dating back to the Babylonians around 1900 BC! Understanding right triangles isn’t just for math class; they pop up everywhere in real life! From engineering to art, whether it's calculating the height of a building or creating perspective in a painting, mastering the properties of right triangles can help you solve practical problems with ease! Plus, knowing the angles helps in designing anything from furniture to bridges, ensuring stability and aesthetics.