Answer:
<HAB = 48° and <CAB = 72°
Explanation:
Looking at the graph these two angles (<FAD = 20° and <DAH = ?) are complementary which means those two angles add up to 90°
Solve for <DAH.
<FAD = 20° + <DAH = ? = 90
Subtract <FAD = 20° to both sides leaving <DAH = ?
<DAH = 70°
Now that we have that angle we can solve for measured angles <HAB and <CAB. These three angles add up to 180°
<DAH + <HAB + <CAB = 180
Plug in our variables.
70° + 2x + 3x = 180°
Solve our x.
(2x + 3x) = 180° - 70°
5x = 120°
x = 24°
Now substitute x into the x to have our measured angle <HAB and <CAB.
<HAB = 2x = 2*24° = 48°
<HAB = 48°
<CAB = 3x = 3*24 = 72°
<CAB = 72°