Recall the Angle-Bisector Theorem. If a ray bisects one angle of a triangle, then it divides the opposite side into segments whose lengths are proportional to the lengths of the two sides that form the bisected angle. The following question is based on a theorem (not stated) that is the converse of the Angle-Bisector Theorem. Given: NP = 12, MN = 18, PQ = 8, and MQ = 12; mzP = 62° and m.M = 36° Find: M QNM in degrees NP Hint: MN PQ MQ PO NP Show that MN by finding the product of the means and the product of the extremes. MQ %3D MN · PQ = NP · MQ = This implies that NQ bisects MNP Find the measures of the following angles in degrees. m.PNM = M.QNM = Need Help? Read It

4. a) A blue jay, B, is sitting atop of an electrical tower as shown. i) Draw and shade in the angle that would represent the angle of depression of the bluejay as it looks down at an ant, A, on the ground. [T = 1] ii) What is the measure of this angle of depression? [T = 1] b) A pigeon, P is also on the tower as shown. Determine the vertical distance between the two birds (i.e. determine the height of line segment BP). Number your steps for clarity. Round to one decimal place, where needed. P- [T = 3] 40° 25° MathBits.com A 87 feet

In triangle ABC, DE intersects sides AB and AC and is parallel to side BC. If AD = 6; DB = 8; AE = 9; EC = ?

Please answer the question below, all parts. Thank you