Show that the sum of the measures of the interior angles of any quadrilateral is 360 by

Question:

Show that the sum of the measures of the interior angles of any quadrilateral is 360° by carrying out the following steps:

a. Draw any quadrilateral, as illustrated in Figure 7.41 (but draw your quadrilateral so it has a different shape from the one shown here).

Figure 7.41

1 3 6 5 2 4

b. What is the sum m∠1 + m∠2 + m∠3?

c. What is the sum m∠4 + m∠5 + m∠6?

d. The sum of the measures of the angles of the quadrilateral is (m∠1 + m∠2 + m∠3) + (m∠4 + m∠5 + m∠6). What is this sum?

e. Do you think this argument will apply for any quadrilateral?

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For  book-img-for-question
Question Posted: