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.
7ft = 84in 84 ÷ 15 = 5.6 pieces he can cut from each board. Since .6 is not a whole piece measuring 15 inches long, he can only cut 5 pieces from each board.
So, 5 x 2 = 10
He would be able to cut 10 pieces measuring 15 inches long.
