Answer:
67.5°
Step-by-step explanation:
From the diagram attached, it can be seen that <BAD = 90° (right angled). Also <BAD = <CAD + <BAC
From the question, we are told that the measurement of CAD is three times measurement of BAC, this means <CAD = 3<BAC
substituting this condition into the formula above:
<BAD = 3<BAC + <BAC
<BAD = 4<BAC
4<BAC = 90
<BAC = 90/4
<BAC = 22.5°
Next is to get <CAD:
<CAD = 3<BAC
<CAD = 3(22.5)
<CAD = 67.5°
Hence the measurement of <CAD is 67.5°
