Final answer:
The measure of angle CAD is found by subtracting the sum of angles BAC and DAB from 180°. Calculating 180° - 23° - 62°, we get CAD equal to 95°, which is not listed as an option in the question.
Step-by-step explanation:
The question involves finding the measure of angle CAD given the measures of angles BAC and DAB. We can find the measure of angle CAD by using the fact that the sum of the angles in a triangle equals 180 degrees. Given m∠BAC = 23° and m∠DAB = 62°, we can find m∠CAD by subtracting the sum of BAC and DAB from 180°:
- m∠CAD = 180° - m∠BAC - m∠DAB
- m∠CAD = 180° - 23° - 62°
- m∠CAD = 180° - 85°
- m∠CAD = 95°
Therefore, the measure of angle CAD is 95°, which is not one of the options provided in the question. There might have been a typo or error in the options. The closest option to the correct answer is (c) 115°, but that is still not the correct measure for angle CAD.