Answer:
Explanation:
The sum of the measures of angles DAC and CAB must equal the measure of angle DAB, since they are adjacent angles that share a common vertex, A. Therefore, we have:
(DAC) + (CAB) = (DAB)
Substituting the given values, we get:
(2y - 7) + (3y + 2) = (DAB)
Simplifying and solving for y, we get:
5y - 5 = (DAB)
y = (DAB + 5) / 5
Now we can find the measure of angle CAB by substituting y back into the given expression for CAB:
<CAB = (3y + 2) = 3[(DAB + 5)/5] + 2 = (3DAB + 17)/5
Therefore, the measure of angle CAB is (3DAB + 17)/5 degrees.