Question

STATEMENTREASON1. AWXY 21 an exterior 21.Given22.exterior = sum ofremoteinterior 2's3. 1 > 223. Ifa=b+c and c>0,then a > bWhich of the following statements would complete the proof in line 2?O 21 = 22 + 23O Z1 = 22 + 24Z1 = 23 + 24

Answer 1

The reason given is:

$\text{exterior }\angle=\text{ sum of remote interior }\angle^{\prime}s$

This means that an exterior angle is equal to the sum of the non adjacent interior angles.

In this case the non adjacent angles are 2 and 3, then the statement will be:

$\angle1=\angle2+\angle3$

hence the answer is the first option.