Question

Please help me, with an explanation!!

Answer 1

`53.13\°`

Explanation:

Since the ratio of XD and XB is 3:2, call the two segments 3a and 2a.

Since
`3a +2a = 20` it's easy to see that a = 4, and you can look just at one of the trangles ABX or BDX, noticing that angle ABC is twice the angles ABX (or DBX). At that point with a calculator you calculate the measure of either, which is
`tan^-^1 \frac6{12} \approx 26.56\°`, and double the angle will give the measure you need, which is
`53.13\°`