Question

If ray BE bisects angle ABD and measure of angle ABD equals 62 find measure of angle ABE.

A) 62
B) 124
C) 15.5
D) 31

Answer 1

Ray BE bisects angle ABD, this means ray BE divides the angle ABD into two equal (congruent parts) which are angle ABE and angle EBD.

So measure of each of the the small part (angle ABE and angle EBD) will be equal in measure and will be half as compared to angle ABD.

Measure of angle ABD = 62

So,

Measure of angle ABE = Measure of angle EBD =
`(62)/(2)=31`°

Therefore, the correct answer is option D