Question

Please help me for my homework

Answer 1

Answer:

m<CAO = 56

Step-by-step 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