Question

Lines AB and CD (if shown) are straight lines. Find x. Give reasons to justify your solutions.

Statement Reason
1. m∠DOB=m∠DOE+m∠ ______ 1. _________________________
2. m∠DOB = _______ +x 2. Substitution
3. m∠AOC=m∠________ 3. _________________________
4. ______ = ______ +x 4. Substitution
5. x = ________ 5. Algebra

Answer 1

To find the value of x, we use the given statements and reasons to form equations and solve for x using algebra.

Step-by-step explanation:

To find the value of x, we use the given statements and reasons to form equations.

From statement 1, we have m∠DOB = m∠DOE + m∠. Substituting the value of m∠DOB with _______ + x in statement 2 gives us an equation.

In statement 3, we know that m∠AOC = m∠______. By substituting ________ = ______ + x in statement 4, we can form another equation. Solving these two equations in statements 2 and 4 will give us the value of x, as shown in step 5 using algebra.