Answer
$\angle$ADB=153$^{\circ}$
Work Step by Step
Given:
A roof truss with AB=8 and $\angle$HAF=37$^{\circ}$
also $\angle$ABD=90$^{\circ}$
as we all know in a roof truss opposite triangles are always congruent that means
$\triangle$ABD is congruent to $\triangle$AFH
therefore,
$\angle$HAF=$\angle$BAD=37$^{\circ}$
now we have to find m$\angle$ADB
so m$\angle$BAD+$\angle$ADB+$\angle$ABD=180$^{\circ}$
37+$\angle$ADB+90=180
$\angle$ADB+127=180
$\angle$ADB=180-127
$\angle$ADB=153$^{\circ}$
