Question

Please help!?

Answer 1

`37`

Explanation:

Well, if `B` is the centre of the circle, then it will intersect chord `AC` at the midpoint of it, which is `D`, and `BD` becomes the perpendicular bisector of `AC`.

So, we have get `/_ADB=90^@`.

Looking at `DeltaADB, /_ADB=90^@,/_DAB=53^@`.

Therefore, the measure of `/_ABD` will be:

`/_ABD=180^@-/_ADB-/_DAB`

`=180^@-90^@-53^@`

`=90^@-53^@`

`=37^@`

Since you want the answer without the units, we can leave out the degrees sign, and the numeric answer will be `mathbb(37)`.