Question

solve for the missing angle.

Explanation:

Step1: Recall angle - sum property

The sum of interior angles of a triangle is 180°.

Step2: Identify known angles

Let the known angles be \(40^{\circ}\) and \(90^{\circ}\) (assuming the right - angle). Let the missing angle be \(x\).
So, \(x + 40^{\circ}+90^{\circ}=180^{\circ}\).

Step3: Solve for the missing angle

\(x=180^{\circ}-(40^{\circ} + 90^{\circ})\)
\(x = 180^{\circ}-130^{\circ}\)
\(x = 50^{\circ}\)

Answer:

\(50^{\circ}\)