Find the measure of angle BAC?

Question

if the measure of angle BAD=75, the measure of angle BAC=3x and the measure of angle CAD=2x.

1.15

2. 30

3. 45

4. 60

Answer 1

BAD = 3x + 2x = 5x

As 5x = 75,

x = 15

BAC = 3x, therefore  = 3x15 = 45 degrees.

answer (3). 45

We are assuming C is between B and D.

Answer 2

it's divided by ratio 3:2

so CAD = 30  & BAC = 45

Answer 3

Well, since C is between B and D,

BAC + CAD = BAD.

3x + 2x = 75

5x = 75

x = 75/5 = 15

And we can substitute it back into our equation for BAC to get

BAC = 3*15 = 45

So the answer is 3. 45