How can Daniela get m∠1 and m∠3 to both equal the same expression?
She can subtract m∠2 from both sides of m∠1 + m∠2 = 180° and m∠2 + m∠3 = 180°.
She can subtract m∠1 from both sides of m∠1 + m∠2 = 180°, and subtract m∠3 from both sides of m∠2 + m∠3 = 180°.
She can subtract 180° from both sides of m∠1 + m∠2 = 180° and m∠2 + m∠3 = 180°.
She can measure m∠1 and m∠3 with a protractor.
To get m∠1 and m∠3 to both equal the same expression, the correct approach is:
She can subtract m∠2 from both sides of m∠1 + m∠2 = 180° and m∠2 + m∠3 = 180°.
Explanation:
Starting from m∠1 + m∠2 = 180°, if we subtract m∠2 from both sides, we get m∠1 = 180° – m∠2.
Similarly, from m∠2 + m∠3 = 180°, if we subtract m∠2, we find m∠3 = 180° – m∠2.
Now we can see that both m∠1 and m∠3 equal the same expression (180° – m∠2). This establishes the relationship needed for m∠1 and m∠3 to be equivalent.
If you have more questions or need further explanation, feel free to ask!