Question

problem 7: spiral review determine the missing angle measure in the right triangle. show or explain your thinking.

Explanation:

Step1: Recall angle - sum property of a triangle

The sum of the interior angles of a triangle is 180°. In a right - triangle, one angle is 90°. Let the missing angle be \(x\). We know one of the non - right angles is 25°.

Step2: Set up the equation

\(x + 25^{\circ}+90^{\circ}=180^{\circ}\)

Step3: Solve for \(x\)

\(x=180^{\circ}-(90^{\circ} + 25^{\circ})\)
\(x = 180^{\circ}-115^{\circ}\)
\(x = 65^{\circ}\)

Answer:

\(65^{\circ}\)