Question

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Explanation:

Step1: Calculate the third angle of the first triangle

The sum of angles in a triangle is \(180^{\circ}\). Let the third angle of the first triangle be \(x\).
\(x = 180^{\circ}-30^{\circ}-85^{\circ}\)
\(x = 65^{\circ}\)

Step2: Find the unknown angle

Since the two triangles are on a straight line (\(180^{\circ}\)), and the second triangle is isosceles (marked by the red arrow, equal sides imply equal angles). Let the unknown angle be \(y\).
\(y=180^{\circ}- 90^{\circ}-65^{\circ}\)
\(y = 65^{\circ}\)

Answer:

\(65^{\circ}\)