Question

ANSWER ASAP !!!!!

The Nijmegen railway bridge in the Netherlands uses triangles in its design.
Triangles are used in bridges to distribute weight evenly across their lengths.
Zoë is an engineering student who is working on a bridge design. Two triangles on
the left side of her design are outlined below. What is the measure of angle ABD
ANSWERS:
22°
28°
46°
78°

Answer 1

Angle ABD is 22°

Explanation:

Angles in a Triangle

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°