\(m \angle N = (8 a - 86)^\circ,\) \(m \angle O = (4 a - 5)^\circ,\) \(m \angle P = (12 a - 137)^\circ\)
Interior Angles
Solve mathematical problems involving interior angles (challenging)
Find the value of the interior angles of each triangle.
Use informal arguments to establish facts about the angle sum and exterior angle of triangles, about the angles created when parallel lines are cut by a transversal, and the angle-angle criterion for similarity of triangles. For example, arrange three copies of the same triangle so that the sum of the three angles appears to form a line, and give an argument in terms of transversals why this is so.