Question

1. if one angle of a triangle measures 90°, what is the sum of the other two angles? 360° 180° 270° 90°

Explanation:

Step1: Recall the sum of angles in a triangle

The sum of the interior angles of a triangle is \(180^{\circ}\). Let the three angles of the triangle be \(A\), \(B\), and \(C\). So, \(A + B + C=180^{\circ}\).

Step2: Substitute the known angle

Given that one angle, say \(A = 90^{\circ}\). Then \(90^{\circ}+B + C=180^{\circ}\).

Step3: Solve for \(B + C\)

Subtract \(90^{\circ}\) from both sides of the equation: \(B + C=180^{\circ}-90^{\circ}\).

Answer:

\(90^{\circ}\) (the fourth option)