4) Two of the angles in a triangle measure \( 90^{\circ} \) and \( 48^{\circ} \). What is the measure of the third angle? Questions answered

In a triangle, the sum of all interior angles must equal \( 180^{\circ} \). Given that two angles measure \( 90^{\circ} \) and \( 48^{\circ} \), you can find the third angle by subtracting the sum of the known angles from \( 180^{\circ} \). So, \( 180^{\circ} - (90^{\circ} + 48^{\circ}) = 42^{\circ} \). The measure of the third angle is \( 42^{\circ} \). Triangles come in various types based on their angles. This triangle, with one right angle and one obtuse angle, is a right triangle. Right triangles are especially useful in real-world applications, such as in construction or navigation, where right angles are crucial for ensuring structures are level and properly aligned. Understanding these principles can make you a pro in practical geometry!