Answer:
10°
Explanation:
You can see the three angles shown form a straight line, meaning they add up to 180°. We can et up the equation:
m<AOC + m<COD + m<DOB = 180°
And we can substitute the values we have:
5a + 18 + 24 - a + 8a - 30 = 180
Next, we can combine all like terms:
12a + 12 = 180
12a = 168
a = 14
Now, to find each angle, we can substitute the value of a:
m<AOC = 5a + 18 = 5(14) + 18 = 88°
m<COD = 24 - a = 24 - 14 = 10°
m<DOB = 8a - 30 = 8(14) - 30 = 82°
The smallest angle is <COD with a measure of 10°.