Question

in the diagram below which is not drawn to scale a b is perpendicular to a d if the measurement of CAD is three times measurement of BAC determine the measurement of CAD

Answer 1

67.5°

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°