Answer:
<em>Angle ABD is 22°</em>
Step-by-step explanation:
<u>Angles in a Triangle</u>
The sum of the internal angles in a triangle is 180°.
Consider the triangle BCD.
The angle CBD is 53°.
The angle BCD is 49°
The missing angle of the triangle BDC is the quantity needed to complete 180°, that is:
angle BDC=180°-53°-49°=78°
Now consider the triangle ABD
The angle ADB is supplementary of BDC, thus:
angle ADB = 180° - 78° = 102°
Finally, the angle ABD is the quantity needed to complete 180°:
angle ABD = 180° - 102° - 56° = 22°
Angle ABD is 22°
