Question

In ∆ABC the angle bisectors drawn from vertices A and B intersect at the point D. Find m∠ADB if:

Answer 1

Answer:

Pretty easy (if you know geometry)!

Step-by-step explanation:

First, we know that A and B have angle bisectors. This means the angles that are divided by that angle bisector are equal (or their measures).

Thus, m<DBA= 1/2 Beta; m<DAB=1/2 Alpha.

Time to find m<ADB. Using the sum of all angles in a triangle = 180* theorem, we can come up with this equation:

$180= m$

So, solving:

$180-\frac{1}{2} \alpha -\frac{1}{2} \beta =m$

So there you go! Hope this helps!