The segments PE and HM lie on perpendicular lines and intersect at point K. Point A is taken inside PKH

The segments PE and HM lie on perpendicular lines and intersect at point K. Point A is taken inside PKH, and point B inside MKE, angle AKH = 40 degrees. , MKB angle = 50 degrees. a) Find the corners PKA and BKE. b) Do points A, K, B lie on one straight line

Given:
The sections PE and HM are perpendicular,
PE and НM intersect at point K,
angle AKH = 40 degrees,
angle MKB = 50 degrees.
a) Find the angles PKA and BKE -? b) Do points A, K, B lie on the same straight line -?
Decision:
a) НKR angle = РCA angle + ACН angle;
РKA angle = НKР angle – ACН angle;
РCA angle = 90 – 40;
РCA angle = 50 degrees;
MKE angle = MKВ angle + BKE angle;
angle BKE = Angle MKE – angle MKE;
angle BKE = 90 – 50;
angle BKE = 40 degrees;
b) points A, K, B do not lie on one straight line, since if they did, then the angles AKH and MKB were vertical and had the same degree measure, but they have different degree measures.
Answer: a) 50 degrees; 40 degrees; b) no.