Which one is correct????

Question

asked Jun 4, 2022 84.9k views

1 Answer

ZillGate · Answer 1 · 2022-06-08T23:58:00+0000

Given:

$m\angle ABC=46^\circ$

BD bisects angle ABC.

To find:

The
$m\angle ABD$ .

Solution:

It is given that, BD bisects angle ABC. It means, BD divides the angle ABC is two equal parts. So,

$m\angle ABD=m\angle DBC=(\angle ABC)/(2)$

We need to find
$m\angle ABD$ , so

$m\angle ABD=(\angle ABC)/(2)$

$m\angle ABD=(46^\circ)/(2)$

$m\angle ABD=23^\circ$

Therefore, the
$m\angle ABD$ is 23°. Hence first option is correct.