Answer:
m<CAO = 56
Explanation:
When two parallel lines are intersected by a transversal, the same-side interior angles are supplementary, meaning that their angle measures add up to (180) degrees. Using this information, substitute in the given values and solve for the unknown,
(m<DOA) + (m<CAO) = 180
Substitute,
3x + 40 + 2x = 180
Simplify,
5x + 40 = 180
Inverse operations,
5x + 40 = 180
-40 -40
5x = 140
/5 /5
x = 28
Now substitute the value of (x) back into the given expression for the value of (<CAO). Solve to find the numerical value.
<CAO = (2x)
= 2(28)
= 56