The bisector BE is drawn in a right-angled triangle with right angle C. Find the BEC angle if the BAC angle is 50 degrees.

Given: ABC – rectangle. treug .;

C = 90 °;

BE – bisector;

BAC = 50 °;

Find: BEC -?

Because treug. ABC – rectangular, so the angle ABC = 180 ° – BCA – BAC = 180 ° – 90 ° – 50 ° = 40 °.

Consider a right-angled triangle BEC.

Because BE is the bisector, then the angle EBC = 1/2 ABC = 40/2 = 20 °.

That. angle BEC = 180 ° – ALL – EBC = 180 ° – 90 ° – 20 ° = 60 °.

Answer: angle BEC = 60 °.