Q. Examine the triangle below, find the m∠P=□m∠M=□ , and the length of NP=□
Identify Triangle Type: Identify the type of triangle and the known values. If it's a right triangle and we know one angle, we can find the other. If it's not specified, assume it's a right triangle for simplicity.
Assume Right Angle: Assume angle P is the right angle. Since the sum of angles in a triangle is 180 degrees, m/P=90 degrees.
Find Third Angle: If we know one other angle, we can find the third angle. Let's say we know m/_N=30 degrees. Then m/_M=180−90−30=60 degrees.
Find Side Length: To find NP, we need to know at least one side length and an angle, or use the Pythagorean theorem if it's a right triangle. Without this info, we can't find NP.