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.

Let’s find in the given right-angled triangle the value of the angle B, for this we need to subtract the values of the angles in this triangle C and A from 180 °:

180 ° -90 ° -50 ° = 40 ° – this is the value of the angle B;

Since BE in the given triangle is a bisector, then the angles CBE and EBA are equal, therefore the angle CBE = 40 ° / 2 = 20 °;

Let us find the value of the angle BEC in the triangle CBE, for this it is necessary to subtract the angles CBE and BCE from 180 °:

180 ° -90 ° -20 ° = 70 ° is the BEC angle.

Answer: 70 ° is the BEC angle.