Final answer:
To find the measure of BD in degrees, we use the fact that the sum of angles in a triangle is 180 degrees. By applying this concept and solving for the missing angles, we find that the measure of BD is 24°.
Step-by-step explanation:
To find the measure of BD in degrees, we need to use the fact that the sum of angles in a triangle is 180 degrees.
Since m<LACE = 24° and mAE = 73°, we can find m<CAE using the fact that the angles are supplementary:
m<CAE = 180° - m<LACE - mAE = 180° - 24° - 73° = 83°
Now, we can find m<BAD using the fact that the angles in a triangle add up to 180 degrees:
m<BAD + m<CAE + mAE = 180°
m<BAD + 83° + 73° = 180°
m<BAD = 24°
Therefore, the measure of BD in degrees is 24°.